This week’s videos take a lot of time to go through & writing notes on.

Week 2

Preprossing data with caret

library(caret)
## Loading required package: lattice
## Loading required package: ggplot2
library(kernlab)
## 
## Attaching package: 'kernlab'
## The following object is masked from 'package:ggplot2':
## 
##     alpha
data(spam)
inTrain<-createDataPartition(y=spam$type,p=0.75,list=FALSE)
training<-spam[inTrain,]
testing<-spam[-inTrain,]
hist(training$capitalAve,main="",xlab="avg. capital run length")

The histogram shows that the data are heavily skewed to the left.

Standardizing the variables (so that they have mean = 0 and sd=1)

trainCapAve<-training$capitalAve
trainCapAveS<-(trainCapAve-mean(trainCapAve))/sd(trainCapAve)
mean(trainCapAveS)
## [1] -4.619523e-18
sd(trainCapAveS)
## [1] 1

Standardizing the test set, using mean and sd of the training set. This means that the standardized test cap will not be exactly the same as that of the training set, but they should be similar.

testCapAve<-testing$capitalAve
testCapAveS<-(testCapAve-mean(trainCapAve))/sd(trainCapAve)
mean(testCapAveS)
## [1] -0.04699338

Use preprocess() function to do the standardization on the training set. The result is the same as using the above functions

preObj<-preProcess(training[,-58],method=c("center","scale"))
trainCapAveS<-predict(preObj,training[,-58])$capitalAve
mean(trainCapAveS)
## [1] -4.619523e-18
sd(trainCapAveS)
## [1] 1

Use preProcess() to do the same on the testing dataset. Note that preObj (which was created based on the training set) is also used to predict on the testing set.

Note that mean() is not equal to 0 on the testing set, and sd is not equal to 1.

testCapAveS<-predict(preObj,testing[,-58])$capitalAve
mean(testCapAveS)
## [1] -0.04699338
sd(testCapAveS)
## [1] 0.2730552

Use preProcess() directly when building a model

set.seed(1)
model<-train(type ~.,data=training,preProcess=c("center","scale"),method="glm")
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
model
## Generalized Linear Model 
## 
## 3451 samples
##   57 predictor
##    2 classes: 'nonspam', 'spam' 
## 
## Pre-processing: centered (57), scaled (57) 
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 3451, 3451, 3451, 3451, 3451, 3451, ... 
## Resampling results:
## 
##   Accuracy   Kappa    
##   0.9223618  0.8364145

Standardising - Box-Cox Transforms

This transforms the data into normal shape - i.e. bell shape

preObj<-preProcess(training[,-58],method=c("BoxCox"))
trainCapAveS<-predict(preObj,training[,-58])$capitalAve
par(mfrow=c(1,2))
hist(trainCapAveS)
qqnorm(trainCapAveS)

Standardization: Imputing data where it is NA using knnImpute

knnImpute uses the average of the k-nearest neighbours to impute the data where it’s not available.

set.seed(1)

# Make some value NAs
training$capAve<-training$capitalAve
selectNA<-rbinom(dim(training)[1],size=1,prob=0.05)==1
training$capAve[selectNA]<-NA

# Impute data when it's NA, and standardize
preObj<-preProcess(training[,-58],method="knnImpute")
capAve<-predict(preObj,training[,-58])$capAve

# Standardize true values
capAveTruth<-training$capitalAve
capAveTruth<-(capAveTruth-mean(capAveTruth))/sd(capAveTruth)

Look at the difference at the imputed value (capAve) and the true value (capAveTruth), using quantile() function.

If the values are all relatively small, then it shows that imputing data works (i.e. doesn’t change the dataset too much).

quantile(capAve-capAveTruth)
##            0%           25%           50%           75%          100% 
## -9.2162427480 -0.0088983065 -0.0061971070 -0.0005415886  3.8442966726

Some notes on preprocessing data

  • training and testing must be processed in the same way (i.e. use the same preObj in predict() function)

Covariate/Predictor/Feature Creation

  1. Step 1: raw data -> features (e.g. free text -> data frame) Google “Feature extraction for [data type]” Examples:
  • Text files: frequency of words, frequency of phrases, frequency of capital letters
  • Images: Edges, corners, ridges
  • Webpages: # and type of images, position of elements, colors, videos (e.g. A/B testing)
  • People: Height, weight, hair color, gender etc.
  1. Step 2: features -> new, useful features
  • more useful for some models (e.g. regression, SVM) than others( e.g. decision trees)
  • should be done only on the training set
  • new features should be added to data frames
  1. An example of feature creation

    ```r
    library(ISLR)
    library(caret)
    data(Wage)
    inTrain<-createDataPartition(y=Wage$wage,p=0.7,list=FALSE)
    training<-Wage[inTrain,]
    testing<-Wage[-inTrain,]
    ```
  • Convert factor variables to dummy variables

    The jobclass column is chacracters, so we can convert it to dummy variable with dummyVars function

    dummies<-dummyVars(wage ~ jobclass,data=training)
    head(predict(dummies,newdata=training))
    ##        jobclass.1. Industrial jobclass.2. Information
    ## 231655                      1                       0
    ## 86582                       0                       1
    ## 161300                      1                       0
    ## 155159                      0                       1
    ## 11443                       0                       1
    ## 376662                      0                       1
  • Remove features which is the same throughout the dataframe, using nearZeroVar

    If nsv (nearZeroVar) returns TRUE, then this feature is not important and thus can be removed.

    nsv<-nearZeroVar(training,saveMetrics = TRUE)
    nsv
    ##            freqRatio percentUnique zeroVar   nzv
    ## year        1.085294    0.33301618   FALSE FALSE
    ## age         1.189189    2.85442436   FALSE FALSE
    ## maritl      3.303371    0.23786870   FALSE FALSE
    ## race        8.282297    0.19029496   FALSE FALSE
    ## education   1.378601    0.23786870   FALSE FALSE
    ## region      0.000000    0.04757374    TRUE  TRUE
    ## jobclass    1.062807    0.09514748   FALSE FALSE
    ## health      2.485904    0.09514748   FALSE FALSE
    ## health_ins  2.243827    0.09514748   FALSE FALSE
    ## logwage     1.000000   19.17221694   FALSE FALSE
    ## wage        1.000000   19.17221694   FALSE FALSE
    • Spline basis df=3 says that we want a 3rd-degree polynomial on this variable training$age. First column means age Second column means age^2 Third column means age^3
    library(splines)
    bsBasis<-bs(training$age,df=3)
    bsBasis
    ##                  1            2            3
    ##    [1,] 0.00000000 0.0000000000 0.000000e+00
    ##    [2,] 0.23685006 0.0253767916 9.063140e-04
    ##    [3,] 0.41633799 0.3211750193 8.258786e-02
    ##    [4,] 0.43081384 0.2910904300 6.556091e-02
    ##    [5,] 0.36252559 0.3866939680 1.374912e-01
    ##    [6,] 0.30633413 0.4241549461 1.957638e-01
    ##    [7,] 0.41633799 0.3211750193 8.258786e-02
    ##    [8,] 0.42616898 0.1482326877 1.718640e-02
    ##    [9,] 0.43333138 0.1637029640 2.061445e-02
    ##   [10,] 0.44435820 0.2275981001 3.885821e-02
    ##   [11,] 0.30633413 0.4241549461 1.957638e-01
    ##   [12,] 0.34934628 0.3975319727 1.507880e-01
    ##   [13,] 0.44221829 0.1953987782 2.877966e-02
    ##   [14,] 0.36252559 0.3866939680 1.374912e-01
    ##   [15,] 0.44221829 0.1953987782 2.877966e-02
    ##   [16,] 0.44409385 0.2114732637 3.356718e-02
    ##   [17,] 0.44308684 0.2436977611 4.467792e-02
    ##   [18,] 0.01793746 0.2044870934 7.770510e-01
    ##   [19,] 0.44308684 0.2436977611 4.467792e-02
    ##   [20,] 0.42616898 0.1482326877 1.718640e-02
    ##   [21,] 0.00000000 0.0000000000 0.000000e+00
    ##   [22,] 0.41709325 0.1331148669 1.416116e-02
    ##   [23,] 0.42616898 0.1482326877 1.718640e-02
    ##   [24,] 0.43865597 0.1794501695 2.447048e-02
    ##   [25,] 0.27551945 0.4362391326 2.302373e-01
    ##   [26,] 0.06545601 0.3403712531 5.899768e-01
    ##   [27,] 0.40602867 0.1184250277 1.151354e-02
    ##   [28,] 0.31822950 0.0540389715 3.058810e-03
    ##   [29,] 0.34037125 0.0654560102 4.195898e-03
    ##   [30,] 0.31822950 0.0540389715 3.058810e-03
    ##   [31,] 0.36252559 0.3866939680 1.374912e-01
    ##   [32,] 0.44435820 0.2275981001 3.885821e-02
    ##   [33,] 0.33553758 0.4074384881 1.649156e-01
    ##   [34,] 0.43333138 0.1637029640 2.061445e-02
    ##   [35,] 0.25969672 0.4403553087 2.488965e-01
    ##   [36,] 0.26654443 0.0339238361 1.439193e-03
    ##   [37,] 0.41709325 0.1331148669 1.416116e-02
    ##   [38,] 0.25969672 0.4403553087 2.488965e-01
    ##   [39,] 0.20448709 0.0179374643 5.244873e-04
    ##   [40,] 0.22759810 0.4443581954 2.891855e-01
    ##   [41,] 0.42616898 0.1482326877 1.718640e-02
    ##   [42,] 0.44035531 0.2596967205 5.105149e-02
    ##   [43,] 0.38669397 0.3625255950 1.132892e-01
    ##   [44,] 0.37500000 0.3750000000 1.250000e-01
    ##   [45,] 0.43623913 0.2755194522 5.800410e-02
    ##   [46,] 0.44221829 0.1953987782 2.877966e-02
    ##   [47,] 0.29109043 0.4308138364 2.125348e-01
    ##   [48,] 0.13145329 0.0066840657 1.132892e-04
    ##   [49,] 0.24369776 0.4430868383 2.685375e-01
    ##   [50,] 0.39289970 0.1042386963 9.218388e-03
    ##   [51,] 0.40602867 0.1184250277 1.151354e-02
    ##   [52,] 0.44308684 0.2436977611 4.467792e-02
    ##   [53,] 0.42415495 0.3063341278 7.374710e-02
    ##   [54,] 0.20448709 0.0179374643 5.244873e-04
    ##   [55,] 0.16370296 0.4333313752 3.823512e-01
    ##   [56,] 0.42415495 0.3063341278 7.374710e-02
    ##   [57,] 0.39753197 0.3493462791 1.023338e-01
    ##   [58,] 0.19539878 0.4422182874 3.336033e-01
    ##   [59,] 0.29109043 0.4308138364 2.125348e-01
    ##   [60,] 0.26654443 0.0339238361 1.439193e-03
    ##   [61,] 0.42616898 0.1482326877 1.718640e-02
    ##   [62,] 0.32117502 0.4163379880 1.798991e-01
    ##   [63,] 0.32117502 0.4163379880 1.798991e-01
    ##   [64,] 0.06545601 0.3403712531 5.899768e-01
    ##   [65,] 0.39753197 0.3493462791 1.023338e-01
    ##   [66,] 0.41709325 0.1331148669 1.416116e-02
    ##   [67,] 0.02537679 0.2368500554 7.368668e-01
    ##   [68,] 0.44308684 0.2436977611 4.467792e-02
    ##   [69,] 0.41709325 0.1331148669 1.416116e-02
    ##   [70,] 0.44221829 0.1953987782 2.877966e-02
    ##   [71,] 0.42616898 0.1482326877 1.718640e-02
    ##   [72,] 0.36252559 0.3866939680 1.374912e-01
    ##   [73,] 0.40743849 0.3355375785 9.210835e-02
    ##   [74,] 0.44035531 0.2596967205 5.105149e-02
    ##   [75,] 0.16370296 0.4333313752 3.823512e-01
    ##   [76,] 0.43333138 0.1637029640 2.061445e-02
    ##   [77,] 0.36014652 0.0776786613 5.584740e-03
    ##   [78,] 0.44221829 0.1953987782 2.877966e-02
    ##   [79,] 0.43623913 0.2755194522 5.800410e-02
    ##   [80,] 0.37500000 0.3750000000 1.250000e-01
    ##   [81,] 0.43623913 0.2755194522 5.800410e-02
    ##   [82,] 0.43081384 0.2910904300 6.556091e-02
    ##   [83,] 0.44409385 0.2114732637 3.356718e-02
    ##   [84,] 0.22759810 0.4443581954 2.891855e-01
    ##   [85,] 0.25969672 0.4403553087 2.488965e-01
    ##   [86,] 0.19539878 0.4422182874 3.336033e-01
    ##   [87,] 0.37500000 0.3750000000 1.250000e-01
    ##   [88,] 0.33553758 0.4074384881 1.649156e-01
    ##   [89,] 0.43081384 0.2910904300 6.556091e-02
    ##   [90,] 0.13145329 0.0066840657 1.132892e-04
    ##   [91,] 0.19539878 0.4422182874 3.336033e-01
    ##   [92,] 0.40602867 0.1184250277 1.151354e-02
    ##   [93,] 0.43333138 0.1637029640 2.061445e-02
    ##   [94,] 0.29364573 0.0435030714 2.148300e-03
    ##   [95,] 0.40602867 0.1184250277 1.151354e-02
    ##   [96,] 0.44221829 0.1953987782 2.877966e-02
    ##   [97,] 0.16938001 0.0116813803 2.685375e-04
    ##   [98,] 0.34934628 0.3975319727 1.507880e-01
    ##   [99,] 0.42415495 0.3063341278 7.374710e-02
    ##  [100,] 0.43333138 0.1637029640 2.061445e-02
    ##  [101,] 0.44308684 0.2436977611 4.467792e-02
    ##  [102,] 0.43333138 0.1637029640 2.061445e-02
    ##  [103,] 0.43333138 0.1637029640 2.061445e-02
    ##  [104,] 0.43081384 0.2910904300 6.556091e-02
    ##  [105,] 0.21147326 0.4440938538 3.108657e-01
    ##  [106,] 0.44409385 0.2114732637 3.356718e-02
    ##  [107,] 0.32117502 0.4163379880 1.798991e-01
    ##  [108,] 0.25969672 0.4403553087 2.488965e-01
    ##  [109,] 0.14823269 0.4261689772 4.084119e-01
    ##  [110,] 0.43081384 0.2910904300 6.556091e-02
    ##  [111,] 0.43333138 0.1637029640 2.061445e-02
    ##  [112,] 0.30633413 0.4241549461 1.957638e-01
    ##  [113,] 0.24369776 0.4430868383 2.685375e-01
    ##  [114,] 0.40743849 0.3355375785 9.210835e-02
    ##  [115,] 0.29109043 0.4308138364 2.125348e-01
    ##  [116,] 0.34934628 0.3975319727 1.507880e-01
    ##  [117,] 0.42616898 0.1482326877 1.718640e-02
    ##  [118,] 0.44308684 0.2436977611 4.467792e-02
    ##  [119,] 0.36252559 0.3866939680 1.374912e-01
    ##  [120,] 0.33553758 0.4074384881 1.649156e-01
    ##  [121,] 0.36252559 0.3866939680 1.374912e-01
    ##  [122,] 0.31822950 0.0540389715 3.058810e-03
    ##  [123,] 0.44435820 0.2275981001 3.885821e-02
    ##  [124,] 0.44435820 0.2275981001 3.885821e-02
    ##  [125,] 0.39289970 0.1042386963 9.218388e-03
    ##  [126,] 0.37763083 0.0906313987 7.250512e-03
    ##  [127,] 0.31822950 0.0540389715 3.058810e-03
    ##  [128,] 0.44308684 0.2436977611 4.467792e-02
    ##  [129,] 0.29109043 0.4308138364 2.125348e-01
    ##  [130,] 0.38669397 0.3625255950 1.132892e-01
    ##  [131,] 0.36014652 0.0776786613 5.584740e-03
    ##  [132,] 0.44308684 0.2436977611 4.467792e-02
    ##  [133,] 0.42415495 0.3063341278 7.374710e-02
    ##  [134,] 0.37500000 0.3750000000 1.250000e-01
    ##  [135,] 0.41633799 0.3211750193 8.258786e-02
    ##  [136,] 0.36014652 0.0776786613 5.584740e-03
    ##  [137,] 0.44221829 0.1953987782 2.877966e-02
    ##  [138,] 0.40743849 0.3355375785 9.210835e-02
    ##  [139,] 0.44435820 0.2275981001 3.885821e-02
    ##  [140,] 0.36014652 0.0776786613 5.584740e-03
    ##  [141,] 0.44221829 0.1953987782 2.877966e-02
    ##  [142,] 0.17945017 0.4386559699 3.574234e-01
    ##  [143,] 0.44221829 0.1953987782 2.877966e-02
    ##  [144,] 0.43865597 0.1794501695 2.447048e-02
    ##  [145,] 0.20448709 0.0179374643 5.244873e-04
    ##  [146,] 0.40743849 0.3355375785 9.210835e-02
    ##  [147,] 0.29364573 0.0435030714 2.148300e-03
    ##  [148,] 0.30633413 0.4241549461 1.957638e-01
    ##  [149,] 0.17945017 0.4386559699 3.574234e-01
    ##  [150,] 0.32117502 0.4163379880 1.798991e-01
    ##  [151,] 0.38669397 0.3625255950 1.132892e-01
    ##  [152,] 0.20448709 0.0179374643 5.244873e-04
    ##  [153,] 0.29109043 0.4308138364 2.125348e-01
    ##  [154,] 0.22759810 0.4443581954 2.891855e-01
    ##  [155,] 0.37500000 0.3750000000 1.250000e-01
    ##  [156,] 0.41633799 0.3211750193 8.258786e-02
    ##  [157,] 0.39289970 0.1042386963 9.218388e-03
    ##  [158,] 0.42616898 0.1482326877 1.718640e-02
    ##  [159,] 0.29364573 0.0435030714 2.148300e-03
    ##  [160,] 0.16938001 0.0116813803 2.685375e-04
    ##  [161,] 0.44308684 0.2436977611 4.467792e-02
    ##  [162,] 0.44035531 0.2596967205 5.105149e-02
    ##  [163,] 0.43865597 0.1794501695 2.447048e-02
    ##  [164,] 0.38669397 0.3625255950 1.132892e-01
    ##  [165,] 0.39753197 0.3493462791 1.023338e-01
    ##  [166,] 0.39753197 0.3493462791 1.023338e-01
    ##  [167,] 0.43333138 0.1637029640 2.061445e-02
    ##  [168,] 0.37500000 0.3750000000 1.250000e-01
    ##  [169,] 0.44308684 0.2436977611 4.467792e-02
    ##  [170,] 0.25969672 0.4403553087 2.488965e-01
    ##  [171,] 0.27551945 0.4362391326 2.302373e-01
    ##  [172,] 0.03392384 0.2665444262 6.980925e-01
    ##  [173,] 0.37500000 0.3750000000 1.250000e-01
    ##  [174,] 0.37763083 0.0906313987 7.250512e-03
    ##  [175,] 0.43865597 0.1794501695 2.447048e-02
    ##  [176,] 0.44435820 0.2275981001 3.885821e-02
    ##  [177,] 0.38669397 0.3625255950 1.132892e-01
    ##  [178,] 0.41633799 0.3211750193 8.258786e-02
    ##  [179,] 0.36252559 0.3866939680 1.374912e-01
    ##  [180,] 0.43623913 0.2755194522 5.800410e-02
    ##  [181,] 0.38669397 0.3625255950 1.132892e-01
    ##  [182,] 0.41633799 0.3211750193 8.258786e-02
    ##  [183,] 0.31822950 0.0540389715 3.058810e-03
    ##  [184,] 0.40602867 0.1184250277 1.151354e-02
    ##  [185,] 0.40743849 0.3355375785 9.210835e-02
    ##  [186,] 0.33553758 0.4074384881 1.649156e-01
    ##  [187,] 0.16938001 0.0116813803 2.685375e-04
    ##  [188,] 0.32117502 0.4163379880 1.798991e-01
    ##  [189,] 0.44409385 0.2114732637 3.356718e-02
    ##  [190,] 0.43623913 0.2755194522 5.800410e-02
    ##  [191,] 0.26654443 0.0339238361 1.439193e-03
    ##  [192,] 0.36014652 0.0776786613 5.584740e-03
    ##  [193,] 0.34037125 0.0654560102 4.195898e-03
    ##  [194,] 0.40743849 0.3355375785 9.210835e-02
    ##  [195,] 0.29109043 0.4308138364 2.125348e-01
    ##  [196,] 0.27551945 0.4362391326 2.302373e-01
    ##  [197,] 0.44035531 0.2596967205 5.105149e-02
    ##  [198,] 0.39753197 0.3493462791 1.023338e-01
    ##  [199,] 0.33553758 0.4074384881 1.649156e-01
    ##  [200,] 0.41709325 0.1331148669 1.416116e-02
    ##  [201,] 0.24369776 0.4430868383 2.685375e-01
    ##  [202,] 0.33553758 0.4074384881 1.649156e-01
    ##  [203,] 0.41633799 0.3211750193 8.258786e-02
    ##  [204,] 0.16938001 0.0116813803 2.685375e-04
    ##  [205,] 0.26654443 0.0339238361 1.439193e-03
    ##  [206,] 0.44035531 0.2596967205 5.105149e-02
    ##  [207,] 0.30633413 0.4241549461 1.957638e-01
    ##  [208,] 0.20448709 0.0179374643 5.244873e-04
    ##  [209,] 0.43865597 0.1794501695 2.447048e-02
    ##  [210,] 0.39289970 0.1042386963 9.218388e-03
    ##  [211,] 0.33553758 0.4074384881 1.649156e-01
    ##  [212,] 0.40743849 0.3355375785 9.210835e-02
    ##  [213,] 0.41633799 0.3211750193 8.258786e-02
    ##  [214,] 0.44035531 0.2596967205 5.105149e-02
    ##  [215,] 0.26654443 0.0339238361 1.439193e-03
    ##  [216,] 0.23685006 0.0253767916 9.063140e-04
    ##  [217,] 0.34934628 0.3975319727 1.507880e-01
    ##  [218,] 0.44035531 0.2596967205 5.105149e-02
    ##  [219,] 0.43623913 0.2755194522 5.800410e-02
    ##  [220,] 0.37763083 0.0906313987 7.250512e-03
    ##  [221,] 0.29109043 0.4308138364 2.125348e-01
    ##  [222,] 0.20448709 0.0179374643 5.244873e-04
    ##  [223,] 0.21147326 0.4440938538 3.108657e-01
    ##  [224,] 0.00000000 0.0000000000 1.000000e+00
    ##  [225,] 0.44308684 0.2436977611 4.467792e-02
    ##  [226,] 0.43333138 0.1637029640 2.061445e-02
    ##  [227,] 0.29109043 0.4308138364 2.125348e-01
    ##  [228,] 0.23685006 0.0253767916 9.063140e-04
    ##  [229,] 0.44435820 0.2275981001 3.885821e-02
    ##  [230,] 0.37763083 0.0906313987 7.250512e-03
    ##  [231,] 0.09063140 0.3776308281 5.244873e-01
    ##  [232,] 0.30633413 0.4241549461 1.957638e-01
    ##  [233,] 0.31822950 0.0540389715 3.058810e-03
    ##  [234,] 0.42616898 0.1482326877 1.718640e-02
    ##  [235,] 0.22759810 0.4443581954 2.891855e-01
    ##  [236,] 0.37763083 0.0906313987 7.250512e-03
    ##  [237,] 0.44435820 0.2275981001 3.885821e-02
    ##  [238,] 0.43081384 0.2910904300 6.556091e-02
    ##  [239,] 0.37763083 0.0906313987 7.250512e-03
    ##  [240,] 0.25969672 0.4403553087 2.488965e-01
    ##  [241,] 0.32117502 0.4163379880 1.798991e-01
    ##  [242,] 0.43623913 0.2755194522 5.800410e-02
    ##  [243,] 0.20448709 0.0179374643 5.244873e-04
    ##  [244,] 0.43081384 0.2910904300 6.556091e-02
    ##  [245,] 0.27551945 0.4362391326 2.302373e-01
    ##  [246,] 0.44221829 0.1953987782 2.877966e-02
    ##  [247,] 0.44035531 0.2596967205 5.105149e-02
    ##  [248,] 0.41709325 0.1331148669 1.416116e-02
    ##  [249,] 0.32117502 0.4163379880 1.798991e-01
    ##  [250,] 0.44221829 0.1953987782 2.877966e-02
    ##  [251,] 0.09063140 0.0030210466 3.356718e-05
    ##  [252,] 0.29364573 0.0435030714 2.148300e-03
    ##  [253,] 0.25969672 0.4403553087 2.488965e-01
    ##  [254,] 0.39753197 0.3493462791 1.023338e-01
    ##  [255,] 0.44409385 0.2114732637 3.356718e-02
    ##  [256,] 0.41709325 0.1331148669 1.416116e-02
    ##  [257,] 0.38669397 0.3625255950 1.132892e-01
    ##  [258,] 0.41709325 0.1331148669 1.416116e-02
    ##  [259,] 0.33553758 0.4074384881 1.649156e-01
    ##  [260,] 0.37763083 0.0906313987 7.250512e-03
    ##  [261,] 0.42415495 0.3063341278 7.374710e-02
    ##  [262,] 0.44409385 0.2114732637 3.356718e-02
    ##  [263,] 0.34934628 0.3975319727 1.507880e-01
    ##  [264,] 0.39753197 0.3493462791 1.023338e-01
    ##  [265,] 0.34037125 0.0654560102 4.195898e-03
    ##  [266,] 0.31822950 0.0540389715 3.058810e-03
    ##  [267,] 0.41709325 0.1331148669 1.416116e-02
    ##  [268,] 0.31822950 0.0540389715 3.058810e-03
    ##  [269,] 0.44409385 0.2114732637 3.356718e-02
    ##  [270,] 0.44308684 0.2436977611 4.467792e-02
    ##  [271,] 0.40743849 0.3355375785 9.210835e-02
    ##  [272,] 0.32117502 0.4163379880 1.798991e-01
    ##  [273,] 0.43623913 0.2755194522 5.800410e-02
    ##  [274,] 0.44308684 0.2436977611 4.467792e-02
    ##  [275,] 0.43333138 0.1637029640 2.061445e-02
    ##  [276,] 0.36252559 0.3866939680 1.374912e-01
    ##  [277,] 0.42616898 0.1482326877 1.718640e-02
    ##  [278,] 0.38669397 0.3625255950 1.132892e-01
    ##  [279,] 0.44035531 0.2596967205 5.105149e-02
    ##  [280,] 0.24369776 0.4430868383 2.685375e-01
    ##  [281,] 0.34037125 0.0654560102 4.195898e-03
    ##  [282,] 0.41709325 0.1331148669 1.416116e-02
    ##  [283,] 0.36252559 0.3866939680 1.374912e-01
    ##  [284,] 0.38669397 0.3625255950 1.132892e-01
    ##  [285,] 0.37500000 0.3750000000 1.250000e-01
    ##  [286,] 0.42415495 0.3063341278 7.374710e-02
    ##  [287,] 0.36252559 0.3866939680 1.374912e-01
    ##  [288,] 0.24369776 0.4430868383 2.685375e-01
    ##  [289,] 0.41633799 0.3211750193 8.258786e-02
    ##  [290,] 0.42415495 0.3063341278 7.374710e-02
    ##  [291,] 0.43333138 0.1637029640 2.061445e-02
    ##  [292,] 0.41633799 0.3211750193 8.258786e-02
    ##  [293,] 0.34934628 0.3975319727 1.507880e-01
    ##  [294,] 0.19539878 0.4422182874 3.336033e-01
    ##  [295,] 0.41633799 0.3211750193 8.258786e-02
    ##  [296,] 0.42616898 0.1482326877 1.718640e-02
    ##  [297,] 0.41709325 0.1331148669 1.416116e-02
    ##  [298,] 0.41633799 0.3211750193 8.258786e-02
    ##  [299,] 0.36252559 0.3866939680 1.374912e-01
    ##  [300,] 0.44435820 0.2275981001 3.885821e-02
    ##  [301,] 0.37500000 0.3750000000 1.250000e-01
    ##  [302,] 0.39289970 0.1042386963 9.218388e-03
    ##  [303,] 0.37500000 0.3750000000 1.250000e-01
    ##  [304,] 0.34934628 0.3975319727 1.507880e-01
    ##  [305,] 0.43623913 0.2755194522 5.800410e-02
    ##  [306,] 0.37763083 0.0906313987 7.250512e-03
    ##  [307,] 0.41709325 0.1331148669 1.416116e-02
    ##  [308,] 0.36252559 0.3866939680 1.374912e-01
    ##  [309,] 0.38669397 0.3625255950 1.132892e-01
    ##  [310,] 0.39753197 0.3493462791 1.023338e-01
    ##  [311,] 0.41633799 0.3211750193 8.258786e-02
    ##  [312,] 0.37500000 0.3750000000 1.250000e-01
    ##  [313,] 0.40743849 0.3355375785 9.210835e-02
    ##  [314,] 0.44221829 0.1953987782 2.877966e-02
    ##  [315,] 0.20448709 0.0179374643 5.244873e-04
    ##  [316,] 0.42616898 0.1482326877 1.718640e-02
    ##  [317,] 0.42415495 0.3063341278 7.374710e-02
    ##  [318,] 0.19539878 0.4422182874 3.336033e-01
    ##  [319,] 0.44308684 0.2436977611 4.467792e-02
    ##  [320,] 0.44221829 0.1953987782 2.877966e-02
    ##  [321,] 0.41709325 0.1331148669 1.416116e-02
    ##  [322,] 0.44035531 0.2596967205 5.105149e-02
    ##  [323,] 0.37763083 0.0906313987 7.250512e-03
    ##  [324,] 0.34934628 0.3975319727 1.507880e-01
    ##  [325,] 0.44435820 0.2275981001 3.885821e-02
    ##  [326,] 0.27551945 0.4362391326 2.302373e-01
    ##  [327,] 0.42415495 0.3063341278 7.374710e-02
    ##  [328,] 0.34934628 0.3975319727 1.507880e-01
    ##  [329,] 0.43333138 0.1637029640 2.061445e-02
    ##  [330,] 0.39753197 0.3493462791 1.023338e-01
    ##  [331,] 0.34934628 0.3975319727 1.507880e-01
    ##  [332,] 0.16370296 0.4333313752 3.823512e-01
    ##  [333,] 0.19539878 0.4422182874 3.336033e-01
    ##  [334,] 0.41709325 0.1331148669 1.416116e-02
    ##  [335,] 0.43333138 0.1637029640 2.061445e-02
    ##  [336,] 0.36252559 0.3866939680 1.374912e-01
    ##  [337,] 0.44035531 0.2596967205 5.105149e-02
    ##  [338,] 0.20448709 0.0179374643 5.244873e-04
    ##  [339,] 0.41633799 0.3211750193 8.258786e-02
    ##  [340,] 0.22759810 0.4443581954 2.891855e-01
    ##  [341,] 0.41633799 0.3211750193 8.258786e-02
    ##  [342,] 0.43623913 0.2755194522 5.800410e-02
    ##  [343,] 0.25969672 0.4403553087 2.488965e-01
    ##  [344,] 0.33553758 0.4074384881 1.649156e-01
    ##  [345,] 0.30633413 0.4241549461 1.957638e-01
    ##  [346,] 0.37763083 0.0906313987 7.250512e-03
    ##  [347,] 0.39753197 0.3493462791 1.023338e-01
    ##  [348,] 0.44409385 0.2114732637 3.356718e-02
    ##  [349,] 0.39753197 0.3493462791 1.023338e-01
    ##  [350,] 0.44435820 0.2275981001 3.885821e-02
    ##  [351,] 0.39753197 0.3493462791 1.023338e-01
    ##  [352,] 0.41633799 0.3211750193 8.258786e-02
    ##  [353,] 0.43623913 0.2755194522 5.800410e-02
    ##  [354,] 0.00000000 0.0000000000 0.000000e+00
    ##  [355,] 0.27551945 0.4362391326 2.302373e-01
    ##  [356,] 0.36252559 0.3866939680 1.374912e-01
    ##  [357,] 0.36252559 0.3866939680 1.374912e-01
    ##  [358,] 0.32117502 0.4163379880 1.798991e-01
    ##  [359,] 0.27551945 0.4362391326 2.302373e-01
    ##  [360,] 0.27551945 0.4362391326 2.302373e-01
    ##  [361,] 0.36252559 0.3866939680 1.374912e-01
    ##  [362,] 0.32117502 0.4163379880 1.798991e-01
    ##  [363,] 0.34037125 0.0654560102 4.195898e-03
    ##  [364,] 0.41633799 0.3211750193 8.258786e-02
    ##  [365,] 0.23685006 0.0253767916 9.063140e-04
    ##  [366,] 0.44409385 0.2114732637 3.356718e-02
    ##  [367,] 0.39753197 0.3493462791 1.023338e-01
    ##  [368,] 0.44409385 0.2114732637 3.356718e-02
    ##  [369,] 0.44435820 0.2275981001 3.885821e-02
    ##  [370,] 0.33553758 0.4074384881 1.649156e-01
    ##  [371,] 0.40743849 0.3355375785 9.210835e-02
    ##  [372,] 0.43623913 0.2755194522 5.800410e-02
    ##  [373,] 0.19539878 0.4422182874 3.336033e-01
    ##  [374,] 0.43623913 0.2755194522 5.800410e-02
    ##  [375,] 0.19539878 0.4422182874 3.336033e-01
    ##  [376,] 0.31822950 0.0540389715 3.058810e-03
    ##  [377,] 0.41633799 0.3211750193 8.258786e-02
    ##  [378,] 0.24369776 0.4430868383 2.685375e-01
    ##  [379,] 0.26654443 0.0339238361 1.439193e-03
    ##  [380,] 0.34934628 0.3975319727 1.507880e-01
    ##  [381,] 0.36252559 0.3866939680 1.374912e-01
    ##  [382,] 0.14823269 0.4261689772 4.084119e-01
    ##  [383,] 0.30633413 0.4241549461 1.957638e-01
    ##  [384,] 0.43623913 0.2755194522 5.800410e-02
    ##  [385,] 0.39289970 0.1042386963 9.218388e-03
    ##  [386,] 0.26654443 0.0339238361 1.439193e-03
    ##  [387,] 0.40602867 0.1184250277 1.151354e-02
    ##  [388,] 0.34037125 0.0654560102 4.195898e-03
    ##  [389,] 0.40602867 0.1184250277 1.151354e-02
    ##  [390,] 0.32117502 0.4163379880 1.798991e-01
    ##  [391,] 0.43865597 0.1794501695 2.447048e-02
    ##  [392,] 0.43081384 0.2910904300 6.556091e-02
    ##  [393,] 0.34934628 0.3975319727 1.507880e-01
    ##  [394,] 0.43333138 0.1637029640 2.061445e-02
    ##  [395,] 0.43081384 0.2910904300 6.556091e-02
    ##  [396,] 0.44435820 0.2275981001 3.885821e-02
    ##  [397,] 0.22759810 0.4443581954 2.891855e-01
    ##  [398,] 0.41709325 0.1331148669 1.416116e-02
    ##  [399,] 0.20448709 0.0179374643 5.244873e-04
    ##  [400,] 0.44221829 0.1953987782 2.877966e-02
    ##  [401,] 0.44308684 0.2436977611 4.467792e-02
    ##  [402,] 0.26654443 0.0339238361 1.439193e-03
    ##  [403,] 0.33553758 0.4074384881 1.649156e-01
    ##  [404,] 0.20448709 0.0179374643 5.244873e-04
    ##  [405,] 0.41709325 0.1331148669 1.416116e-02
    ##  [406,] 0.44221829 0.1953987782 2.877966e-02
    ##  [407,] 0.42616898 0.1482326877 1.718640e-02
    ##  [408,] 0.34934628 0.3975319727 1.507880e-01
    ##  [409,] 0.44308684 0.2436977611 4.467792e-02
    ##  [410,] 0.36252559 0.3866939680 1.374912e-01
    ##  [411,] 0.30633413 0.4241549461 1.957638e-01
    ##  [412,] 0.36252559 0.3866939680 1.374912e-01
    ##  [413,] 0.40602867 0.1184250277 1.151354e-02
    ##  [414,] 0.44221829 0.1953987782 2.877966e-02
    ##  [415,] 0.04683881 0.0007678494 4.195898e-06
    ##  [416,] 0.40602867 0.1184250277 1.151354e-02
    ##  [417,] 0.43623913 0.2755194522 5.800410e-02
    ##  [418,] 0.29364573 0.0435030714 2.148300e-03
    ##  [419,] 0.40743849 0.3355375785 9.210835e-02
    ##  [420,] 0.00000000 0.0000000000 0.000000e+00
    ##  [421,] 0.43081384 0.2910904300 6.556091e-02
    ##  [422,] 0.17945017 0.4386559699 3.574234e-01
    ##  [423,] 0.42415495 0.3063341278 7.374710e-02
    ##  [424,] 0.44308684 0.2436977611 4.467792e-02
    ##  [425,] 0.43081384 0.2910904300 6.556091e-02
    ##  [426,] 0.38669397 0.3625255950 1.132892e-01
    ##  [427,] 0.43333138 0.1637029640 2.061445e-02
    ##  [428,] 0.19539878 0.4422182874 3.336033e-01
    ##  [429,] 0.34037125 0.0654560102 4.195898e-03
    ##  [430,] 0.16938001 0.0116813803 2.685375e-04
    ##  [431,] 0.43623913 0.2755194522 5.800410e-02
    ##  [432,] 0.36014652 0.0776786613 5.584740e-03
    ##  [433,] 0.39289970 0.1042386963 9.218388e-03
    ##  [434,] 0.22759810 0.4443581954 2.891855e-01
    ##  [435,] 0.40602867 0.1184250277 1.151354e-02
    ##  [436,] 0.40602867 0.1184250277 1.151354e-02
    ##  [437,] 0.26654443 0.0339238361 1.439193e-03
    ##  [438,] 0.25969672 0.4403553087 2.488965e-01
    ##  [439,] 0.37500000 0.3750000000 1.250000e-01
    ##  [440,] 0.44035531 0.2596967205 5.105149e-02
    ##  [441,] 0.44409385 0.2114732637 3.356718e-02
    ##  [442,] 0.24369776 0.4430868383 2.685375e-01
    ##  [443,] 0.44435820 0.2275981001 3.885821e-02
    ##  [444,] 0.27551945 0.4362391326 2.302373e-01
    ##  [445,] 0.42415495 0.3063341278 7.374710e-02
    ##  [446,] 0.44035531 0.2596967205 5.105149e-02
    ##  [447,] 0.36014652 0.0776786613 5.584740e-03
    ##  [448,] 0.43623913 0.2755194522 5.800410e-02
    ##  [449,] 0.34934628 0.3975319727 1.507880e-01
    ##  [450,] 0.44435820 0.2275981001 3.885821e-02
    ##  [451,] 0.39289970 0.1042386963 9.218388e-03
    ##  [452,] 0.04683881 0.0007678494 4.195898e-06
    ##  [453,] 0.43623913 0.2755194522 5.800410e-02
    ##  [454,] 0.44409385 0.2114732637 3.356718e-02
    ##  [455,] 0.29364573 0.0435030714 2.148300e-03
    ##  [456,] 0.44409385 0.2114732637 3.356718e-02
    ##  [457,] 0.42415495 0.3063341278 7.374710e-02
    ##  [458,] 0.33553758 0.4074384881 1.649156e-01
    ##  [459,] 0.13311487 0.4170932496 4.356307e-01
    ##  [460,] 0.34037125 0.0654560102 4.195898e-03
    ##  [461,] 0.32117502 0.4163379880 1.798991e-01
    ##  [462,] 0.33553758 0.4074384881 1.649156e-01
    ##  [463,] 0.31822950 0.0540389715 3.058810e-03
    ##  [464,] 0.40602867 0.1184250277 1.151354e-02
    ##  [465,] 0.34934628 0.3975319727 1.507880e-01
    ##  [466,] 0.43081384 0.2910904300 6.556091e-02
    ##  [467,] 0.36252559 0.3866939680 1.374912e-01
    ##  [468,] 0.32117502 0.4163379880 1.798991e-01
    ##  [469,] 0.30633413 0.4241549461 1.957638e-01
    ##  [470,] 0.23685006 0.0253767916 9.063140e-04
    ##  [471,] 0.37763083 0.0906313987 7.250512e-03
    ##  [472,] 0.41633799 0.3211750193 8.258786e-02
    ##  [473,] 0.29109043 0.4308138364 2.125348e-01
    ##  [474,] 0.44035531 0.2596967205 5.105149e-02
    ##  [475,] 0.42415495 0.3063341278 7.374710e-02
    ##  [476,] 0.33553758 0.4074384881 1.649156e-01
    ##  [477,] 0.29109043 0.4308138364 2.125348e-01
    ##  [478,] 0.31822950 0.0540389715 3.058810e-03
    ##  [479,] 0.40743849 0.3355375785 9.210835e-02
    ##  [480,] 0.43081384 0.2910904300 6.556091e-02
    ##  [481,] 0.38669397 0.3625255950 1.132892e-01
    ##  [482,] 0.41709325 0.1331148669 1.416116e-02
    ##  [483,] 0.36252559 0.3866939680 1.374912e-01
    ##  [484,] 0.23685006 0.0253767916 9.063140e-04
    ##  [485,] 0.43623913 0.2755194522 5.800410e-02
    ##  [486,] 0.32117502 0.4163379880 1.798991e-01
    ##  [487,] 0.37500000 0.3750000000 1.250000e-01
    ##  [488,] 0.40743849 0.3355375785 9.210835e-02
    ##  [489,] 0.44308684 0.2436977611 4.467792e-02
    ##  [490,] 0.44035531 0.2596967205 5.105149e-02
    ##  [491,] 0.43865597 0.1794501695 2.447048e-02
    ##  [492,] 0.42616898 0.1482326877 1.718640e-02
    ##  [493,] 0.23685006 0.0253767916 9.063140e-04
    ##  [494,] 0.41709325 0.1331148669 1.416116e-02
    ##  [495,] 0.38669397 0.3625255950 1.132892e-01
    ##  [496,] 0.26654443 0.0339238361 1.439193e-03
    ##  [497,] 0.31822950 0.0540389715 3.058810e-03
    ##  [498,] 0.24369776 0.4430868383 2.685375e-01
    ##  [499,] 0.33553758 0.4074384881 1.649156e-01
    ##  [500,] 0.21147326 0.4440938538 3.108657e-01
    ##  [501,] 0.44435820 0.2275981001 3.885821e-02
    ##  [502,] 0.34934628 0.3975319727 1.507880e-01
    ##  [503,] 0.39289970 0.1042386963 9.218388e-03
    ##  [504,] 0.44308684 0.2436977611 4.467792e-02
    ##  [505,] 0.40743849 0.3355375785 9.210835e-02
    ##  [506,] 0.33553758 0.4074384881 1.649156e-01
    ##  [507,] 0.44308684 0.2436977611 4.467792e-02
    ##  [508,] 0.29364573 0.0435030714 2.148300e-03
    ##  [509,] 0.44409385 0.2114732637 3.356718e-02
    ##  [510,] 0.16370296 0.4333313752 3.823512e-01
    ##  [511,] 0.43333138 0.1637029640 2.061445e-02
    ##  [512,] 0.36014652 0.0776786613 5.584740e-03
    ##  [513,] 0.36014652 0.0776786613 5.584740e-03
    ##  [514,] 0.17945017 0.4386559699 3.574234e-01
    ##  [515,] 0.27551945 0.4362391326 2.302373e-01
    ##  [516,] 0.24369776 0.4430868383 2.685375e-01
    ##  [517,] 0.44435820 0.2275981001 3.885821e-02
    ##  [518,] 0.37500000 0.3750000000 1.250000e-01
    ##  [519,] 0.23685006 0.0253767916 9.063140e-04
    ##  [520,] 0.19539878 0.4422182874 3.336033e-01
    ##  [521,] 0.24369776 0.4430868383 2.685375e-01
    ##  [522,] 0.39753197 0.3493462791 1.023338e-01
    ##  [523,] 0.39753197 0.3493462791 1.023338e-01
    ##  [524,] 0.44409385 0.2114732637 3.356718e-02
    ##  [525,] 0.39289970 0.1042386963 9.218388e-03
    ##  [526,] 0.27551945 0.4362391326 2.302373e-01
    ##  [527,] 0.42415495 0.3063341278 7.374710e-02
    ##  [528,] 0.43865597 0.1794501695 2.447048e-02
    ##  [529,] 0.29109043 0.4308138364 2.125348e-01
    ##  [530,] 0.38669397 0.3625255950 1.132892e-01
    ##  [531,] 0.36252559 0.3866939680 1.374912e-01
    ##  [532,] 0.43623913 0.2755194522 5.800410e-02
    ##  [533,] 0.26654443 0.0339238361 1.439193e-03
    ##  [534,] 0.29109043 0.4308138364 2.125348e-01
    ##  [535,] 0.34037125 0.0654560102 4.195898e-03
    ##  [536,] 0.37763083 0.0906313987 7.250512e-03
    ##  [537,] 0.40743849 0.3355375785 9.210835e-02
    ##  [538,] 0.38669397 0.3625255950 1.132892e-01
    ##  [539,] 0.20448709 0.0179374643 5.244873e-04
    ##  [540,] 0.42616898 0.1482326877 1.718640e-02
    ##  [541,] 0.41709325 0.1331148669 1.416116e-02
    ##  [542,] 0.24369776 0.4430868383 2.685375e-01
    ##  [543,] 0.39753197 0.3493462791 1.023338e-01
    ##  [544,] 0.23685006 0.0253767916 9.063140e-04
    ##  [545,] 0.27551945 0.4362391326 2.302373e-01
    ##  [546,] 0.20448709 0.0179374643 5.244873e-04
    ##  [547,] 0.41633799 0.3211750193 8.258786e-02
    ##  [548,] 0.24369776 0.4430868383 2.685375e-01
    ##  [549,] 0.37763083 0.0906313987 7.250512e-03
    ##  [550,] 0.40743849 0.3355375785 9.210835e-02
    ##  [551,] 0.38669397 0.3625255950 1.132892e-01
    ##  [552,] 0.36252559 0.3866939680 1.374912e-01
    ##  [553,] 0.44221829 0.1953987782 2.877966e-02
    ##  [554,] 0.37500000 0.3750000000 1.250000e-01
    ##  [555,] 0.30633413 0.4241549461 1.957638e-01
    ##  [556,] 0.33553758 0.4074384881 1.649156e-01
    ##  [557,] 0.37763083 0.0906313987 7.250512e-03
    ##  [558,] 0.42616898 0.1482326877 1.718640e-02
    ##  [559,] 0.44409385 0.2114732637 3.356718e-02
    ##  [560,] 0.44435820 0.2275981001 3.885821e-02
    ##  [561,] 0.33553758 0.4074384881 1.649156e-01
    ##  [562,] 0.24369776 0.4430868383 2.685375e-01
    ##  [563,] 0.44409385 0.2114732637 3.356718e-02
    ##  [564,] 0.16370296 0.4333313752 3.823512e-01
    ##  [565,] 0.39289970 0.1042386963 9.218388e-03
    ##  [566,] 0.32117502 0.4163379880 1.798991e-01
    ##  [567,] 0.13145329 0.0066840657 1.132892e-04
    ##  [568,] 0.34037125 0.0654560102 4.195898e-03
    ##  [569,] 0.41709325 0.1331148669 1.416116e-02
    ##  [570,] 0.40602867 0.1184250277 1.151354e-02
    ##  [571,] 0.34037125 0.0654560102 4.195898e-03
    ##  [572,] 0.43623913 0.2755194522 5.800410e-02
    ##  [573,] 0.43865597 0.1794501695 2.447048e-02
    ##  [574,] 0.32117502 0.4163379880 1.798991e-01
    ##  [575,] 0.43865597 0.1794501695 2.447048e-02
    ##  [576,] 0.29109043 0.4308138364 2.125348e-01
    ##  [577,] 0.13311487 0.4170932496 4.356307e-01
    ##  [578,] 0.44221829 0.1953987782 2.877966e-02
    ##  [579,] 0.04683881 0.0007678494 4.195898e-06
    ##  [580,] 0.36252559 0.3866939680 1.374912e-01
    ##  [581,] 0.16938001 0.0116813803 2.685375e-04
    ##  [582,] 0.44308684 0.2436977611 4.467792e-02
    ##  [583,] 0.44221829 0.1953987782 2.877966e-02
    ##  [584,] 0.11842503 0.4060286664 4.640328e-01
    ##  [585,] 0.43333138 0.1637029640 2.061445e-02
    ##  [586,] 0.41709325 0.1331148669 1.416116e-02
    ##  [587,] 0.42415495 0.3063341278 7.374710e-02
    ##  [588,] 0.38669397 0.3625255950 1.132892e-01
    ##  [589,] 0.39753197 0.3493462791 1.023338e-01
    ##  [590,] 0.44035531 0.2596967205 5.105149e-02
    ##  [591,] 0.02537679 0.2368500554 7.368668e-01
    ##  [592,] 0.41709325 0.1331148669 1.416116e-02
    ##  [593,] 0.17945017 0.4386559699 3.574234e-01
    ##  [594,] 0.27551945 0.4362391326 2.302373e-01
    ##  [595,] 0.36014652 0.0776786613 5.584740e-03
    ##  [596,] 0.27551945 0.4362391326 2.302373e-01
    ##  [597,] 0.39753197 0.3493462791 1.023338e-01
    ##  [598,] 0.41633799 0.3211750193 8.258786e-02
    ##  [599,] 0.42415495 0.3063341278 7.374710e-02
    ##  [600,] 0.44308684 0.2436977611 4.467792e-02
    ##  [601,] 0.27551945 0.4362391326 2.302373e-01
    ##  [602,] 0.27551945 0.4362391326 2.302373e-01
    ##  [603,] 0.39753197 0.3493462791 1.023338e-01
    ##  [604,] 0.44435820 0.2275981001 3.885821e-02
    ##  [605,] 0.44409385 0.2114732637 3.356718e-02
    ##  [606,] 0.38669397 0.3625255950 1.132892e-01
    ##  [607,] 0.42415495 0.3063341278 7.374710e-02
    ##  [608,] 0.43623913 0.2755194522 5.800410e-02
    ##  [609,] 0.29109043 0.4308138364 2.125348e-01
    ##  [610,] 0.44435820 0.2275981001 3.885821e-02
    ##  [611,] 0.37763083 0.0906313987 7.250512e-03
    ##  [612,] 0.41709325 0.1331148669 1.416116e-02
    ##  [613,] 0.39289970 0.1042386963 9.218388e-03
    ##  [614,] 0.43333138 0.1637029640 2.061445e-02
    ##  [615,] 0.29109043 0.4308138364 2.125348e-01
    ##  [616,] 0.43865597 0.1794501695 2.447048e-02
    ##  [617,] 0.44221829 0.1953987782 2.877966e-02
    ##  [618,] 0.41709325 0.1331148669 1.416116e-02
    ##  [619,] 0.39753197 0.3493462791 1.023338e-01
    ##  [620,] 0.34037125 0.0654560102 4.195898e-03
    ##  [621,] 0.36014652 0.0776786613 5.584740e-03
    ##  [622,] 0.44308684 0.2436977611 4.467792e-02
    ##  [623,] 0.41709325 0.1331148669 1.416116e-02
    ##  [624,] 0.44308684 0.2436977611 4.467792e-02
    ##  [625,] 0.44435820 0.2275981001 3.885821e-02
    ##  [626,] 0.42415495 0.3063341278 7.374710e-02
    ##  [627,] 0.43081384 0.2910904300 6.556091e-02
    ##  [628,] 0.42415495 0.3063341278 7.374710e-02
    ##  [629,] 0.36014652 0.0776786613 5.584740e-03
    ##  [630,] 0.37500000 0.3750000000 1.250000e-01
    ##  [631,] 0.39753197 0.3493462791 1.023338e-01
    ##  [632,] 0.40743849 0.3355375785 9.210835e-02
    ##  [633,] 0.44035531 0.2596967205 5.105149e-02
    ##  [634,] 0.33553758 0.4074384881 1.649156e-01
    ##  [635,] 0.43081384 0.2910904300 6.556091e-02
    ##  [636,] 0.27551945 0.4362391326 2.302373e-01
    ##  [637,] 0.36014652 0.0776786613 5.584740e-03
    ##  [638,] 0.41633799 0.3211750193 8.258786e-02
    ##  [639,] 0.36014652 0.0776786613 5.584740e-03
    ##  [640,] 0.09063140 0.3776308281 5.244873e-01
    ##  [641,] 0.39753197 0.3493462791 1.023338e-01
    ##  [642,] 0.37763083 0.0906313987 7.250512e-03
    ##  [643,] 0.37500000 0.3750000000 1.250000e-01
    ##  [644,] 0.43865597 0.1794501695 2.447048e-02
    ##  [645,] 0.42415495 0.3063341278 7.374710e-02
    ##  [646,] 0.43623913 0.2755194522 5.800410e-02
    ##  [647,] 0.44435820 0.2275981001 3.885821e-02
    ##  [648,] 0.37763083 0.0906313987 7.250512e-03
    ##  [649,] 0.34037125 0.0654560102 4.195898e-03
    ##  [650,] 0.37763083 0.0906313987 7.250512e-03
    ##  [651,] 0.26654443 0.0339238361 1.439193e-03
    ##  [652,] 0.33553758 0.4074384881 1.649156e-01
    ##  [653,] 0.29364573 0.0435030714 2.148300e-03
    ##  [654,] 0.30633413 0.4241549461 1.957638e-01
    ##  [655,] 0.25969672 0.4403553087 2.488965e-01
    ##  [656,] 0.40602867 0.1184250277 1.151354e-02
    ##  [657,] 0.21147326 0.4440938538 3.108657e-01
    ##  [658,] 0.37500000 0.3750000000 1.250000e-01
    ##  [659,] 0.38669397 0.3625255950 1.132892e-01
    ##  [660,] 0.24369776 0.4430868383 2.685375e-01
    ##  [661,] 0.37763083 0.0906313987 7.250512e-03
    ##  [662,] 0.31822950 0.0540389715 3.058810e-03
    ##  [663,] 0.29109043 0.4308138364 2.125348e-01
    ##  [664,] 0.36252559 0.3866939680 1.374912e-01
    ##  [665,] 0.44308684 0.2436977611 4.467792e-02
    ##  [666,] 0.31822950 0.0540389715 3.058810e-03
    ##  [667,] 0.37500000 0.3750000000 1.250000e-01
    ##  [668,] 0.36252559 0.3866939680 1.374912e-01
    ##  [669,] 0.42415495 0.3063341278 7.374710e-02
    ##  [670,] 0.04350307 0.2936457319 6.607029e-01
    ##  [671,] 0.39289970 0.1042386963 9.218388e-03
    ##  [672,] 0.43865597 0.1794501695 2.447048e-02
    ##  [673,] 0.16370296 0.4333313752 3.823512e-01
    ##  [674,] 0.40743849 0.3355375785 9.210835e-02
    ##  [675,] 0.29109043 0.4308138364 2.125348e-01
    ##  [676,] 0.42415495 0.3063341278 7.374710e-02
    ##  [677,] 0.42415495 0.3063341278 7.374710e-02
    ##  [678,] 0.40602867 0.1184250277 1.151354e-02
    ##  [679,] 0.43623913 0.2755194522 5.800410e-02
    ##  [680,] 0.38669397 0.3625255950 1.132892e-01
    ##  [681,] 0.43865597 0.1794501695 2.447048e-02
    ##  [682,] 0.39289970 0.1042386963 9.218388e-03
    ##  [683,] 0.30633413 0.4241549461 1.957638e-01
    ##  [684,] 0.36014652 0.0776786613 5.584740e-03
    ##  [685,] 0.43333138 0.1637029640 2.061445e-02
    ##  [686,] 0.36252559 0.3866939680 1.374912e-01
    ##  [687,] 0.41709325 0.1331148669 1.416116e-02
    ##  [688,] 0.42616898 0.1482326877 1.718640e-02
    ##  [689,] 0.41709325 0.1331148669 1.416116e-02
    ##  [690,] 0.22759810 0.4443581954 2.891855e-01
    ##  [691,] 0.17945017 0.4386559699 3.574234e-01
    ##  [692,] 0.36014652 0.0776786613 5.584740e-03
    ##  [693,] 0.26654443 0.0339238361 1.439193e-03
    ##  [694,] 0.11842503 0.4060286664 4.640328e-01
    ##  [695,] 0.41633799 0.3211750193 8.258786e-02
    ##  [696,] 0.43333138 0.1637029640 2.061445e-02
    ##  [697,] 0.43081384 0.2910904300 6.556091e-02
    ##  [698,] 0.37500000 0.3750000000 1.250000e-01
    ##  [699,] 0.21147326 0.4440938538 3.108657e-01
    ##  [700,] 0.40743849 0.3355375785 9.210835e-02
    ##  [701,] 0.29109043 0.4308138364 2.125348e-01
    ##  [702,] 0.40602867 0.1184250277 1.151354e-02
    ##  [703,] 0.32117502 0.4163379880 1.798991e-01
    ##  [704,] 0.25969672 0.4403553087 2.488965e-01
    ##  [705,] 0.34934628 0.3975319727 1.507880e-01
    ##  [706,] 0.22759810 0.4443581954 2.891855e-01
    ##  [707,] 0.41633799 0.3211750193 8.258786e-02
    ##  [708,] 0.27551945 0.4362391326 2.302373e-01
    ##  [709,] 0.37763083 0.0906313987 7.250512e-03
    ##  [710,] 0.13145329 0.0066840657 1.132892e-04
    ##  [711,] 0.21147326 0.4440938538 3.108657e-01
    ##  [712,] 0.21147326 0.4440938538 3.108657e-01
    ##  [713,] 0.44435820 0.2275981001 3.885821e-02
    ##  [714,] 0.39753197 0.3493462791 1.023338e-01
    ##  [715,] 0.42415495 0.3063341278 7.374710e-02
    ##  [716,] 0.40743849 0.3355375785 9.210835e-02
    ##  [717,] 0.34037125 0.0654560102 4.195898e-03
    ##  [718,] 0.23685006 0.0253767916 9.063140e-04
    ##  [719,] 0.44221829 0.1953987782 2.877966e-02
    ##  [720,] 0.39289970 0.1042386963 9.218388e-03
    ##  [721,] 0.04350307 0.2936457319 6.607029e-01
    ##  [722,] 0.36252559 0.3866939680 1.374912e-01
    ##  [723,] 0.43865597 0.1794501695 2.447048e-02
    ##  [724,] 0.31822950 0.0540389715 3.058810e-03
    ##  [725,] 0.31822950 0.0540389715 3.058810e-03
    ##  [726,] 0.09063140 0.0030210466 3.356718e-05
    ##  [727,] 0.37500000 0.3750000000 1.250000e-01
    ##  [728,] 0.26654443 0.0339238361 1.439193e-03
    ##  [729,] 0.32117502 0.4163379880 1.798991e-01
    ##  [730,] 0.41633799 0.3211750193 8.258786e-02
    ##  [731,] 0.40602867 0.1184250277 1.151354e-02
    ##  [732,] 0.39753197 0.3493462791 1.023338e-01
    ##  [733,] 0.36252559 0.3866939680 1.374912e-01
    ##  [734,] 0.40743849 0.3355375785 9.210835e-02
    ##  [735,] 0.39753197 0.3493462791 1.023338e-01
    ##  [736,] 0.29109043 0.4308138364 2.125348e-01
    ##  [737,] 0.37500000 0.3750000000 1.250000e-01
    ##  [738,] 0.26654443 0.0339238361 1.439193e-03
    ##  [739,] 0.16370296 0.4333313752 3.823512e-01
    ##  [740,] 0.39289970 0.1042386963 9.218388e-03
    ##  [741,] 0.36014652 0.0776786613 5.584740e-03
    ##  [742,] 0.34934628 0.3975319727 1.507880e-01
    ##  [743,] 0.34037125 0.0654560102 4.195898e-03
    ##  [744,] 0.43333138 0.1637029640 2.061445e-02
    ##  [745,] 0.44035531 0.2596967205 5.105149e-02
    ##  [746,] 0.22759810 0.4443581954 2.891855e-01
    ##  [747,] 0.34934628 0.3975319727 1.507880e-01
    ##  [748,] 0.29364573 0.0435030714 2.148300e-03
    ##  [749,] 0.42616898 0.1482326877 1.718640e-02
    ##  [750,] 0.40602867 0.1184250277 1.151354e-02
    ##  [751,] 0.20448709 0.0179374643 5.244873e-04
    ##  [752,] 0.43081384 0.2910904300 6.556091e-02
    ##  [753,] 0.43865597 0.1794501695 2.447048e-02
    ##  [754,] 0.36252559 0.3866939680 1.374912e-01
    ##  [755,] 0.29109043 0.4308138364 2.125348e-01
    ##  [756,] 0.44435820 0.2275981001 3.885821e-02
    ##  [757,] 0.44308684 0.2436977611 4.467792e-02
    ##  [758,] 0.40602867 0.1184250277 1.151354e-02
    ##  [759,] 0.16370296 0.4333313752 3.823512e-01
    ##  [760,] 0.44409385 0.2114732637 3.356718e-02
    ##  [761,] 0.10423870 0.3928997013 4.936432e-01
    ##  [762,] 0.44435820 0.2275981001 3.885821e-02
    ##  [763,] 0.39289970 0.1042386963 9.218388e-03
    ##  [764,] 0.44035531 0.2596967205 5.105149e-02
    ##  [765,] 0.39753197 0.3493462791 1.023338e-01
    ##  [766,] 0.19539878 0.4422182874 3.336033e-01
    ##  [767,] 0.19539878 0.4422182874 3.336033e-01
    ##  [768,] 0.13145329 0.0066840657 1.132892e-04
    ##  [769,] 0.16938001 0.0116813803 2.685375e-04
    ##  [770,] 0.32117502 0.4163379880 1.798991e-01
    ##  [771,] 0.39753197 0.3493462791 1.023338e-01
    ##  [772,] 0.43865597 0.1794501695 2.447048e-02
    ##  [773,] 0.43865597 0.1794501695 2.447048e-02
    ##  [774,] 0.43623913 0.2755194522 5.800410e-02
    ##  [775,] 0.30633413 0.4241549461 1.957638e-01
    ##  [776,] 0.31822950 0.0540389715 3.058810e-03
    ##  [777,] 0.43865597 0.1794501695 2.447048e-02
    ##  [778,] 0.43333138 0.1637029640 2.061445e-02
    ##  [779,] 0.43333138 0.1637029640 2.061445e-02
    ##  [780,] 0.22759810 0.4443581954 2.891855e-01
    ##  [781,] 0.40602867 0.1184250277 1.151354e-02
    ##  [782,] 0.41709325 0.1331148669 1.416116e-02
    ##  [783,] 0.44221829 0.1953987782 2.877966e-02
    ##  [784,] 0.40743849 0.3355375785 9.210835e-02
    ##  [785,] 0.16370296 0.4333313752 3.823512e-01
    ##  [786,] 0.44035531 0.2596967205 5.105149e-02
    ##  [787,] 0.44308684 0.2436977611 4.467792e-02
    ##  [788,] 0.40743849 0.3355375785 9.210835e-02
    ##  [789,] 0.41633799 0.3211750193 8.258786e-02
    ##  [790,] 0.38669397 0.3625255950 1.132892e-01
    ##  [791,] 0.36252559 0.3866939680 1.374912e-01
    ##  [792,] 0.32117502 0.4163379880 1.798991e-01
    ##  [793,] 0.37763083 0.0906313987 7.250512e-03
    ##  [794,] 0.29109043 0.4308138364 2.125348e-01
    ##  [795,] 0.43333138 0.1637029640 2.061445e-02
    ##  [796,] 0.41709325 0.1331148669 1.416116e-02
    ##  [797,] 0.42616898 0.1482326877 1.718640e-02
    ##  [798,] 0.41709325 0.1331148669 1.416116e-02
    ##  [799,] 0.37500000 0.3750000000 1.250000e-01
    ##  [800,] 0.17945017 0.4386559699 3.574234e-01
    ##  [801,] 0.39289970 0.1042386963 9.218388e-03
    ##  [802,] 0.43081384 0.2910904300 6.556091e-02
    ##  [803,] 0.43081384 0.2910904300 6.556091e-02
    ##  [804,] 0.43081384 0.2910904300 6.556091e-02
    ##  [805,] 0.38669397 0.3625255950 1.132892e-01
    ##  [806,] 0.38669397 0.3625255950 1.132892e-01
    ##  [807,] 0.36014652 0.0776786613 5.584740e-03
    ##  [808,] 0.33553758 0.4074384881 1.649156e-01
    ##  [809,] 0.44308684 0.2436977611 4.467792e-02
    ##  [810,] 0.43081384 0.2910904300 6.556091e-02
    ##  [811,] 0.40602867 0.1184250277 1.151354e-02
    ##  [812,] 0.34037125 0.0654560102 4.195898e-03
    ##  [813,] 0.42415495 0.3063341278 7.374710e-02
    ##  [814,] 0.44035531 0.2596967205 5.105149e-02
    ##  [815,] 0.39289970 0.1042386963 9.218388e-03
    ##  [816,] 0.38669397 0.3625255950 1.132892e-01
    ##  [817,] 0.36252559 0.3866939680 1.374912e-01
    ##  [818,] 0.39753197 0.3493462791 1.023338e-01
    ##  [819,] 0.39289970 0.1042386963 9.218388e-03
    ##  [820,] 0.44308684 0.2436977611 4.467792e-02
    ##  [821,] 0.23685006 0.0253767916 9.063140e-04
    ##  [822,] 0.13311487 0.4170932496 4.356307e-01
    ##  [823,] 0.34037125 0.0654560102 4.195898e-03
    ##  [824,] 0.41633799 0.3211750193 8.258786e-02
    ##  [825,] 0.40743849 0.3355375785 9.210835e-02
    ##  [826,] 0.05403897 0.3182294988 6.246727e-01
    ##  [827,] 0.44435820 0.2275981001 3.885821e-02
    ##  [828,] 0.44035531 0.2596967205 5.105149e-02
    ##  [829,] 0.41709325 0.1331148669 1.416116e-02
    ##  [830,] 0.01168138 0.1693800141 8.186701e-01
    ##  [831,] 0.29364573 0.0435030714 2.148300e-03
    ##  [832,] 0.34934628 0.3975319727 1.507880e-01
    ##  [833,] 0.44221829 0.1953987782 2.877966e-02
    ##  [834,] 0.44221829 0.1953987782 2.877966e-02
    ##  [835,] 0.40602867 0.1184250277 1.151354e-02
    ##  [836,] 0.29109043 0.4308138364 2.125348e-01
    ##  [837,] 0.43865597 0.1794501695 2.447048e-02
    ##  [838,] 0.44435820 0.2275981001 3.885821e-02
    ##  [839,] 0.40743849 0.3355375785 9.210835e-02
    ##  [840,] 0.42616898 0.1482326877 1.718640e-02
    ##  [841,] 0.44435820 0.2275981001 3.885821e-02
    ##  [842,] 0.36252559 0.3866939680 1.374912e-01
    ##  [843,] 0.38669397 0.3625255950 1.132892e-01
    ##  [844,] 0.39753197 0.3493462791 1.023338e-01
    ##  [845,] 0.09063140 0.0030210466 3.356718e-05
    ##  [846,] 0.44221829 0.1953987782 2.877966e-02
    ##  [847,] 0.30633413 0.4241549461 1.957638e-01
    ##  [848,] 0.34934628 0.3975319727 1.507880e-01
    ##  [849,] 0.40602867 0.1184250277 1.151354e-02
    ##  [850,] 0.43333138 0.1637029640 2.061445e-02
    ##  [851,] 0.44409385 0.2114732637 3.356718e-02
    ##  [852,] 0.34037125 0.0654560102 4.195898e-03
    ##  [853,] 0.19539878 0.4422182874 3.336033e-01
    ##  [854,] 0.37500000 0.3750000000 1.250000e-01
    ##  [855,] 0.34037125 0.0654560102 4.195898e-03
    ##  [856,] 0.19539878 0.4422182874 3.336033e-01
    ##  [857,] 0.43623913 0.2755194522 5.800410e-02
    ##  [858,] 0.39289970 0.1042386963 9.218388e-03
    ##  [859,] 0.36252559 0.3866939680 1.374912e-01
    ##  [860,] 0.42415495 0.3063341278 7.374710e-02
    ##  [861,] 0.40743849 0.3355375785 9.210835e-02
    ##  [862,] 0.44308684 0.2436977611 4.467792e-02
    ##  [863,] 0.44409385 0.2114732637 3.356718e-02
    ##  [864,] 0.43081384 0.2910904300 6.556091e-02
    ##  [865,] 0.39753197 0.3493462791 1.023338e-01
    ##  [866,] 0.39753197 0.3493462791 1.023338e-01
    ##  [867,] 0.22759810 0.4443581954 2.891855e-01
    ##  [868,] 0.43865597 0.1794501695 2.447048e-02
    ##  [869,] 0.44435820 0.2275981001 3.885821e-02
    ##  [870,] 0.44308684 0.2436977611 4.467792e-02
    ##  [871,] 0.43623913 0.2755194522 5.800410e-02
    ##  [872,] 0.44409385 0.2114732637 3.356718e-02
    ##  [873,] 0.00000000 0.0000000000 0.000000e+00
    ##  [874,] 0.43333138 0.1637029640 2.061445e-02
    ##  [875,] 0.38669397 0.3625255950 1.132892e-01
    ##  [876,] 0.31822950 0.0540389715 3.058810e-03
    ##  [877,] 0.44308684 0.2436977611 4.467792e-02
    ##  [878,] 0.42616898 0.1482326877 1.718640e-02
    ##  [879,] 0.30633413 0.4241549461 1.957638e-01
    ##  [880,] 0.09063140 0.0030210466 3.356718e-05
    ##  [881,] 0.36252559 0.3866939680 1.374912e-01
    ##  [882,] 0.43623913 0.2755194522 5.800410e-02
    ##  [883,] 0.22759810 0.4443581954 2.891855e-01
    ##  [884,] 0.10423870 0.3928997013 4.936432e-01
    ##  [885,] 0.29364573 0.0435030714 2.148300e-03
    ##  [886,] 0.44308684 0.2436977611 4.467792e-02
    ##  [887,] 0.16938001 0.0116813803 2.685375e-04
    ##  [888,] 0.42415495 0.3063341278 7.374710e-02
    ##  [889,] 0.30633413 0.4241549461 1.957638e-01
    ##  [890,] 0.38669397 0.3625255950 1.132892e-01
    ##  [891,] 0.38669397 0.3625255950 1.132892e-01
    ##  [892,] 0.37763083 0.0906313987 7.250512e-03
    ##  [893,] 0.44409385 0.2114732637 3.356718e-02
    ##  [894,] 0.22759810 0.4443581954 2.891855e-01
    ##  [895,] 0.44409385 0.2114732637 3.356718e-02
    ##  [896,] 0.44308684 0.2436977611 4.467792e-02
    ##  [897,] 0.43865597 0.1794501695 2.447048e-02
    ##  [898,] 0.21147326 0.4440938538 3.108657e-01
    ##  [899,] 0.44308684 0.2436977611 4.467792e-02
    ##  [900,] 0.34037125 0.0654560102 4.195898e-03
    ##  [901,] 0.42616898 0.1482326877 1.718640e-02
    ##  [902,] 0.29364573 0.0435030714 2.148300e-03
    ##  [903,] 0.31822950 0.0540389715 3.058810e-03
    ##  [904,] 0.44409385 0.2114732637 3.356718e-02
    ##  [905,] 0.34934628 0.3975319727 1.507880e-01
    ##  [906,] 0.24369776 0.4430868383 2.685375e-01
    ##  [907,] 0.43623913 0.2755194522 5.800410e-02
    ##  [908,] 0.40602867 0.1184250277 1.151354e-02
    ##  [909,] 0.31822950 0.0540389715 3.058810e-03
    ##  [910,] 0.34934628 0.3975319727 1.507880e-01
    ##  [911,] 0.21147326 0.4440938538 3.108657e-01
    ##  [912,] 0.17945017 0.4386559699 3.574234e-01
    ##  [913,] 0.20448709 0.0179374643 5.244873e-04
    ##  [914,] 0.39753197 0.3493462791 1.023338e-01
    ##  [915,] 0.25969672 0.4403553087 2.488965e-01
    ##  [916,] 0.34037125 0.0654560102 4.195898e-03
    ##  [917,] 0.24369776 0.4430868383 2.685375e-01
    ##  [918,] 0.39753197 0.3493462791 1.023338e-01
    ##  [919,] 0.44035531 0.2596967205 5.105149e-02
    ##  [920,] 0.31822950 0.0540389715 3.058810e-03
    ##  [921,] 0.04683881 0.0007678494 4.195898e-06
    ##  [922,] 0.39753197 0.3493462791 1.023338e-01
    ##  [923,] 0.42415495 0.3063341278 7.374710e-02
    ##  [924,] 0.20448709 0.0179374643 5.244873e-04
    ##  [925,] 0.43623913 0.2755194522 5.800410e-02
    ##  [926,] 0.33553758 0.4074384881 1.649156e-01
    ##  [927,] 0.09063140 0.0030210466 3.356718e-05
    ##  [928,] 0.41709325 0.1331148669 1.416116e-02
    ##  [929,] 0.44308684 0.2436977611 4.467792e-02
    ##  [930,] 0.43333138 0.1637029640 2.061445e-02
    ##  [931,] 0.42616898 0.1482326877 1.718640e-02
    ##  [932,] 0.44221829 0.1953987782 2.877966e-02
    ##  [933,] 0.16938001 0.0116813803 2.685375e-04
    ##  [934,] 0.42415495 0.3063341278 7.374710e-02
    ##  [935,] 0.41633799 0.3211750193 8.258786e-02
    ##  [936,] 0.43623913 0.2755194522 5.800410e-02
    ##  [937,] 0.33553758 0.4074384881 1.649156e-01
    ##  [938,] 0.31822950 0.0540389715 3.058810e-03
    ##  [939,] 0.22759810 0.4443581954 2.891855e-01
    ##  [940,] 0.33553758 0.4074384881 1.649156e-01
    ##  [941,] 0.04683881 0.0007678494 4.195898e-06
    ##  [942,] 0.14823269 0.4261689772 4.084119e-01
    ##  [943,] 0.44409385 0.2114732637 3.356718e-02
    ##  [944,] 0.32117502 0.4163379880 1.798991e-01
    ##  [945,] 0.34037125 0.0654560102 4.195898e-03
    ##  [946,] 0.44435820 0.2275981001 3.885821e-02
    ##  [947,] 0.33553758 0.4074384881 1.649156e-01
    ##  [948,] 0.44035531 0.2596967205 5.105149e-02
    ##  [949,] 0.39753197 0.3493462791 1.023338e-01
    ##  [950,] 0.39289970 0.1042386963 9.218388e-03
    ##  [951,] 0.34037125 0.0654560102 4.195898e-03
    ##  [952,] 0.41633799 0.3211750193 8.258786e-02
    ##  [953,] 0.39753197 0.3493462791 1.023338e-01
    ##  [954,] 0.37500000 0.3750000000 1.250000e-01
    ##  [955,] 0.38669397 0.3625255950 1.132892e-01
    ##  [956,] 0.39753197 0.3493462791 1.023338e-01
    ##  [957,] 0.25969672 0.4403553087 2.488965e-01
    ##  [958,] 0.44435820 0.2275981001 3.885821e-02
    ##  [959,] 0.41633799 0.3211750193 8.258786e-02
    ##  [960,] 0.33553758 0.4074384881 1.649156e-01
    ##  [961,] 0.34934628 0.3975319727 1.507880e-01
    ##  [962,] 0.41633799 0.3211750193 8.258786e-02
    ##  [963,] 0.38669397 0.3625255950 1.132892e-01
    ##  [964,] 0.39753197 0.3493462791 1.023338e-01
    ##  [965,] 0.37500000 0.3750000000 1.250000e-01
    ##  [966,] 0.38669397 0.3625255950 1.132892e-01
    ##  [967,] 0.27551945 0.4362391326 2.302373e-01
    ##  [968,] 0.44435820 0.2275981001 3.885821e-02
    ##  [969,] 0.37500000 0.3750000000 1.250000e-01
    ##  [970,] 0.40743849 0.3355375785 9.210835e-02
    ##  [971,] 0.29364573 0.0435030714 2.148300e-03
    ##  [972,] 0.19539878 0.4422182874 3.336033e-01
    ##  [973,] 0.17945017 0.4386559699 3.574234e-01
    ##  [974,] 0.39753197 0.3493462791 1.023338e-01
    ##  [975,] 0.44308684 0.2436977611 4.467792e-02
    ##  [976,] 0.19539878 0.4422182874 3.336033e-01
    ##  [977,] 0.44409385 0.2114732637 3.356718e-02
    ##  [978,] 0.41633799 0.3211750193 8.258786e-02
    ##  [979,] 0.31822950 0.0540389715 3.058810e-03
    ##  [980,] 0.16938001 0.0116813803 2.685375e-04
    ##  [981,] 0.26654443 0.0339238361 1.439193e-03
    ##  [982,] 0.43333138 0.1637029640 2.061445e-02
    ##  [983,] 0.44035531 0.2596967205 5.105149e-02
    ##  [984,] 0.37500000 0.3750000000 1.250000e-01
    ##  [985,] 0.43865597 0.1794501695 2.447048e-02
    ##  [986,] 0.34037125 0.0654560102 4.195898e-03
    ##  [987,] 0.24369776 0.4430868383 2.685375e-01
    ##  [988,] 0.14823269 0.4261689772 4.084119e-01
    ##  [989,] 0.41633799 0.3211750193 8.258786e-02
    ##  [990,] 0.33553758 0.4074384881 1.649156e-01
    ##  [991,] 0.43623913 0.2755194522 5.800410e-02
    ##  [992,] 0.44308684 0.2436977611 4.467792e-02
    ##  [993,] 0.29109043 0.4308138364 2.125348e-01
    ##  [994,] 0.40743849 0.3355375785 9.210835e-02
    ##  [995,] 0.29109043 0.4308138364 2.125348e-01
    ##  [996,] 0.32117502 0.4163379880 1.798991e-01
    ##  [997,] 0.41709325 0.1331148669 1.416116e-02
    ##  [998,] 0.41633799 0.3211750193 8.258786e-02
    ##  [999,] 0.30633413 0.4241549461 1.957638e-01
    ## [1000,] 0.40602867 0.1184250277 1.151354e-02
    ## [1001,] 0.43623913 0.2755194522 5.800410e-02
    ## [1002,] 0.30633413 0.4241549461 1.957638e-01
    ## [1003,] 0.44409385 0.2114732637 3.356718e-02
    ## [1004,] 0.39289970 0.1042386963 9.218388e-03
    ## [1005,] 0.44035531 0.2596967205 5.105149e-02
    ## [1006,] 0.41633799 0.3211750193 8.258786e-02
    ## [1007,] 0.37500000 0.3750000000 1.250000e-01
    ## [1008,] 0.36252559 0.3866939680 1.374912e-01
    ## [1009,] 0.44308684 0.2436977611 4.467792e-02
    ## [1010,] 0.26654443 0.0339238361 1.439193e-03
    ## [1011,] 0.34934628 0.3975319727 1.507880e-01
    ## [1012,] 0.40602867 0.1184250277 1.151354e-02
    ## [1013,] 0.43623913 0.2755194522 5.800410e-02
    ## [1014,] 0.22759810 0.4443581954 2.891855e-01
    ## [1015,] 0.39289970 0.1042386963 9.218388e-03
    ## [1016,] 0.36014652 0.0776786613 5.584740e-03
    ## [1017,] 0.43333138 0.1637029640 2.061445e-02
    ## [1018,] 0.34037125 0.0654560102 4.195898e-03
    ## [1019,] 0.36252559 0.3866939680 1.374912e-01
    ## [1020,] 0.29364573 0.0435030714 2.148300e-03
    ## [1021,] 0.39289970 0.1042386963 9.218388e-03
    ## [1022,] 0.36252559 0.3866939680 1.374912e-01
    ## [1023,] 0.16938001 0.0116813803 2.685375e-04
    ## [1024,] 0.29109043 0.4308138364 2.125348e-01
    ## [1025,] 0.16370296 0.4333313752 3.823512e-01
    ## [1026,] 0.16370296 0.4333313752 3.823512e-01
    ## [1027,] 0.43081384 0.2910904300 6.556091e-02
    ## [1028,] 0.44409385 0.2114732637 3.356718e-02
    ## [1029,] 0.17945017 0.4386559699 3.574234e-01
    ## [1030,] 0.43865597 0.1794501695 2.447048e-02
    ## [1031,] 0.30633413 0.4241549461 1.957638e-01
    ## [1032,] 0.29364573 0.0435030714 2.148300e-03
    ## [1033,] 0.40743849 0.3355375785 9.210835e-02
    ## [1034,] 0.16938001 0.0116813803 2.685375e-04
    ## [1035,] 0.24369776 0.4430868383 2.685375e-01
    ## [1036,] 0.16370296 0.4333313752 3.823512e-01
    ## [1037,] 0.10423870 0.3928997013 4.936432e-01
    ## [1038,] 0.43081384 0.2910904300 6.556091e-02
    ## [1039,] 0.44308684 0.2436977611 4.467792e-02
    ## [1040,] 0.44035531 0.2596967205 5.105149e-02
    ## [1041,] 0.34934628 0.3975319727 1.507880e-01
    ## [1042,] 0.43081384 0.2910904300 6.556091e-02
    ## [1043,] 0.42616898 0.1482326877 1.718640e-02
    ## [1044,] 0.41709325 0.1331148669 1.416116e-02
    ## [1045,] 0.40743849 0.3355375785 9.210835e-02
    ## [1046,] 0.44409385 0.2114732637 3.356718e-02
    ## [1047,] 0.42415495 0.3063341278 7.374710e-02
    ## [1048,] 0.36252559 0.3866939680 1.374912e-01
    ## [1049,] 0.29109043 0.4308138364 2.125348e-01
    ## [1050,] 0.37500000 0.3750000000 1.250000e-01
    ## [1051,] 0.39753197 0.3493462791 1.023338e-01
    ## [1052,] 0.44308684 0.2436977611 4.467792e-02
    ## [1053,] 0.13145329 0.0066840657 1.132892e-04
    ## [1054,] 0.19539878 0.4422182874 3.336033e-01
    ## [1055,] 0.42415495 0.3063341278 7.374710e-02
    ## [1056,] 0.43081384 0.2910904300 6.556091e-02
    ## [1057,] 0.36014652 0.0776786613 5.584740e-03
    ## [1058,] 0.29364573 0.0435030714 2.148300e-03
    ## [1059,] 0.44409385 0.2114732637 3.356718e-02
    ## [1060,] 0.41633799 0.3211750193 8.258786e-02
    ## [1061,] 0.44435820 0.2275981001 3.885821e-02
    ## [1062,] 0.41709325 0.1331148669 1.416116e-02
    ## [1063,] 0.42415495 0.3063341278 7.374710e-02
    ## [1064,] 0.38669397 0.3625255950 1.132892e-01
    ## [1065,] 0.41633799 0.3211750193 8.258786e-02
    ## [1066,] 0.27551945 0.4362391326 2.302373e-01
    ## [1067,] 0.05403897 0.3182294988 6.246727e-01
    ## [1068,] 0.37763083 0.0906313987 7.250512e-03
    ## [1069,] 0.41633799 0.3211750193 8.258786e-02
    ## [1070,] 0.44035531 0.2596967205 5.105149e-02
    ## [1071,] 0.44308684 0.2436977611 4.467792e-02
    ## [1072,] 0.22759810 0.4443581954 2.891855e-01
    ## [1073,] 0.40743849 0.3355375785 9.210835e-02
    ## [1074,] 0.44409385 0.2114732637 3.356718e-02
    ## [1075,] 0.32117502 0.4163379880 1.798991e-01
    ## [1076,] 0.40743849 0.3355375785 9.210835e-02
    ## [1077,] 0.34037125 0.0654560102 4.195898e-03
    ## [1078,] 0.42616898 0.1482326877 1.718640e-02
    ## [1079,] 0.16938001 0.0116813803 2.685375e-04
    ## [1080,] 0.31822950 0.0540389715 3.058810e-03
    ## [1081,] 0.33553758 0.4074384881 1.649156e-01
    ## [1082,] 0.43081384 0.2910904300 6.556091e-02
    ## [1083,] 0.33553758 0.4074384881 1.649156e-01
    ## [1084,] 0.30633413 0.4241549461 1.957638e-01
    ## [1085,] 0.39753197 0.3493462791 1.023338e-01
    ## [1086,] 0.43623913 0.2755194522 5.800410e-02
    ## [1087,] 0.04350307 0.2936457319 6.607029e-01
    ## [1088,] 0.43333138 0.1637029640 2.061445e-02
    ## [1089,] 0.21147326 0.4440938538 3.108657e-01
    ## [1090,] 0.41633799 0.3211750193 8.258786e-02
    ## [1091,] 0.19539878 0.4422182874 3.336033e-01
    ## [1092,] 0.44435820 0.2275981001 3.885821e-02
    ## [1093,] 0.26654443 0.0339238361 1.439193e-03
    ## [1094,] 0.34934628 0.3975319727 1.507880e-01
    ## [1095,] 0.24369776 0.4430868383 2.685375e-01
    ## [1096,] 0.33553758 0.4074384881 1.649156e-01
    ## [1097,] 0.41633799 0.3211750193 8.258786e-02
    ## [1098,] 0.44035531 0.2596967205 5.105149e-02
    ## [1099,] 0.43623913 0.2755194522 5.800410e-02
    ## [1100,] 0.39289970 0.1042386963 9.218388e-03
    ## [1101,] 0.39753197 0.3493462791 1.023338e-01
    ## [1102,] 0.32117502 0.4163379880 1.798991e-01
    ## [1103,] 0.44221829 0.1953987782 2.877966e-02
    ## [1104,] 0.33553758 0.4074384881 1.649156e-01
    ## [1105,] 0.44035531 0.2596967205 5.105149e-02
    ## [1106,] 0.44435820 0.2275981001 3.885821e-02
    ## [1107,] 0.20448709 0.0179374643 5.244873e-04
    ## [1108,] 0.43081384 0.2910904300 6.556091e-02
    ## [1109,] 0.36014652 0.0776786613 5.584740e-03
    ## [1110,] 0.43081384 0.2910904300 6.556091e-02
    ## [1111,] 0.14823269 0.4261689772 4.084119e-01
    ## [1112,] 0.37500000 0.3750000000 1.250000e-01
    ## [1113,] 0.40743849 0.3355375785 9.210835e-02
    ## [1114,] 0.37763083 0.0906313987 7.250512e-03
    ## [1115,] 0.36014652 0.0776786613 5.584740e-03
    ## [1116,] 0.40602867 0.1184250277 1.151354e-02
    ## [1117,] 0.44308684 0.2436977611 4.467792e-02
    ## [1118,] 0.23685006 0.0253767916 9.063140e-04
    ## [1119,] 0.39753197 0.3493462791 1.023338e-01
    ## [1120,] 0.26654443 0.0339238361 1.439193e-03
    ## [1121,] 0.42415495 0.3063341278 7.374710e-02
    ## [1122,] 0.30633413 0.4241549461 1.957638e-01
    ## [1123,] 0.22759810 0.4443581954 2.891855e-01
    ## [1124,] 0.16370296 0.4333313752 3.823512e-01
    ## [1125,] 0.37500000 0.3750000000 1.250000e-01
    ## [1126,] 0.23685006 0.0253767916 9.063140e-04
    ## [1127,] 0.11842503 0.4060286664 4.640328e-01
    ## [1128,] 0.25969672 0.4403553087 2.488965e-01
    ## [1129,] 0.39753197 0.3493462791 1.023338e-01
    ## [1130,] 0.20448709 0.0179374643 5.244873e-04
    ## [1131,] 0.43081384 0.2910904300 6.556091e-02
    ## [1132,] 0.24369776 0.4430868383 2.685375e-01
    ## [1133,] 0.38669397 0.3625255950 1.132892e-01
    ## [1134,] 0.36252559 0.3866939680 1.374912e-01
    ## [1135,] 0.24369776 0.4430868383 2.685375e-01
    ## [1136,] 0.09063140 0.0030210466 3.356718e-05
    ## [1137,] 0.42415495 0.3063341278 7.374710e-02
    ## [1138,] 0.36252559 0.3866939680 1.374912e-01
    ## [1139,] 0.29109043 0.4308138364 2.125348e-01
    ## [1140,] 0.44435820 0.2275981001 3.885821e-02
    ## [1141,] 0.36252559 0.3866939680 1.374912e-01
    ## [1142,] 0.23685006 0.0253767916 9.063140e-04
    ## [1143,] 0.32117502 0.4163379880 1.798991e-01
    ## [1144,] 0.43333138 0.1637029640 2.061445e-02
    ## [1145,] 0.26654443 0.0339238361 1.439193e-03
    ## [1146,] 0.23685006 0.0253767916 9.063140e-04
    ## [1147,] 0.25969672 0.4403553087 2.488965e-01
    ## [1148,] 0.44308684 0.2436977611 4.467792e-02
    ## [1149,] 0.38669397 0.3625255950 1.132892e-01
    ## [1150,] 0.44035531 0.2596967205 5.105149e-02
    ## [1151,] 0.36252559 0.3866939680 1.374912e-01
    ## [1152,] 0.43333138 0.1637029640 2.061445e-02
    ## [1153,] 0.31822950 0.0540389715 3.058810e-03
    ## [1154,] 0.44035531 0.2596967205 5.105149e-02
    ## [1155,] 0.22759810 0.4443581954 2.891855e-01
    ## [1156,] 0.29109043 0.4308138364 2.125348e-01
    ## [1157,] 0.30633413 0.4241549461 1.957638e-01
    ## [1158,] 0.42616898 0.1482326877 1.718640e-02
    ## [1159,] 0.43081384 0.2910904300 6.556091e-02
    ## [1160,] 0.43081384 0.2910904300 6.556091e-02
    ## [1161,] 0.41633799 0.3211750193 8.258786e-02
    ## [1162,] 0.44308684 0.2436977611 4.467792e-02
    ## [1163,] 0.41709325 0.1331148669 1.416116e-02
    ## [1164,] 0.41633799 0.3211750193 8.258786e-02
    ## [1165,] 0.13145329 0.0066840657 1.132892e-04
    ## [1166,] 0.30633413 0.4241549461 1.957638e-01
    ## [1167,] 0.43333138 0.1637029640 2.061445e-02
    ## [1168,] 0.20448709 0.0179374643 5.244873e-04
    ## [1169,] 0.19539878 0.4422182874 3.336033e-01
    ## [1170,] 0.34934628 0.3975319727 1.507880e-01
    ## [1171,] 0.43081384 0.2910904300 6.556091e-02
    ## [1172,] 0.09063140 0.0030210466 3.356718e-05
    ## [1173,] 0.34934628 0.3975319727 1.507880e-01
    ## [1174,] 0.13311487 0.4170932496 4.356307e-01
    ## [1175,] 0.43865597 0.1794501695 2.447048e-02
    ## [1176,] 0.41709325 0.1331148669 1.416116e-02
    ## [1177,] 0.40602867 0.1184250277 1.151354e-02
    ## [1178,] 0.41633799 0.3211750193 8.258786e-02
    ## [1179,] 0.34934628 0.3975319727 1.507880e-01
    ## [1180,] 0.41709325 0.1331148669 1.416116e-02
    ## [1181,] 0.39753197 0.3493462791 1.023338e-01
    ## [1182,] 0.20448709 0.0179374643 5.244873e-04
    ## [1183,] 0.25969672 0.4403553087 2.488965e-01
    ## [1184,] 0.19539878 0.4422182874 3.336033e-01
    ## [1185,] 0.36014652 0.0776786613 5.584740e-03
    ## [1186,] 0.44221829 0.1953987782 2.877966e-02
    ## [1187,] 0.44435820 0.2275981001 3.885821e-02
    ## [1188,] 0.22759810 0.4443581954 2.891855e-01
    ## [1189,] 0.39289970 0.1042386963 9.218388e-03
    ## [1190,] 0.29364573 0.0435030714 2.148300e-03
    ## [1191,] 0.34934628 0.3975319727 1.507880e-01
    ## [1192,] 0.44409385 0.2114732637 3.356718e-02
    ## [1193,] 0.36252559 0.3866939680 1.374912e-01
    ## [1194,] 0.37500000 0.3750000000 1.250000e-01
    ## [1195,] 0.44308684 0.2436977611 4.467792e-02
    ## [1196,] 0.37763083 0.0906313987 7.250512e-03
    ## [1197,] 0.44035531 0.2596967205 5.105149e-02
    ## [1198,] 0.40602867 0.1184250277 1.151354e-02
    ## [1199,] 0.29364573 0.0435030714 2.148300e-03
    ## [1200,] 0.44035531 0.2596967205 5.105149e-02
    ## [1201,] 0.43333138 0.1637029640 2.061445e-02
    ## [1202,] 0.36252559 0.3866939680 1.374912e-01
    ## [1203,] 0.43081384 0.2910904300 6.556091e-02
    ## [1204,] 0.36252559 0.3866939680 1.374912e-01
    ## [1205,] 0.04683881 0.0007678494 4.195898e-06
    ## [1206,] 0.43623913 0.2755194522 5.800410e-02
    ## [1207,] 0.32117502 0.4163379880 1.798991e-01
    ## [1208,] 0.16938001 0.0116813803 2.685375e-04
    ## [1209,] 0.37500000 0.3750000000 1.250000e-01
    ## [1210,] 0.41709325 0.1331148669 1.416116e-02
    ## [1211,] 0.39289970 0.1042386963 9.218388e-03
    ## [1212,] 0.44308684 0.2436977611 4.467792e-02
    ## [1213,] 0.38669397 0.3625255950 1.132892e-01
    ## [1214,] 0.40743849 0.3355375785 9.210835e-02
    ## [1215,] 0.36252559 0.3866939680 1.374912e-01
    ## [1216,] 0.44409385 0.2114732637 3.356718e-02
    ## [1217,] 0.41709325 0.1331148669 1.416116e-02
    ## [1218,] 0.33553758 0.4074384881 1.649156e-01
    ## [1219,] 0.38669397 0.3625255950 1.132892e-01
    ## [1220,] 0.32117502 0.4163379880 1.798991e-01
    ## [1221,] 0.43081384 0.2910904300 6.556091e-02
    ## [1222,] 0.30633413 0.4241549461 1.957638e-01
    ## [1223,] 0.26654443 0.0339238361 1.439193e-03
    ## [1224,] 0.43333138 0.1637029640 2.061445e-02
    ## [1225,] 0.43865597 0.1794501695 2.447048e-02
    ## [1226,] 0.43081384 0.2910904300 6.556091e-02
    ## [1227,] 0.33553758 0.4074384881 1.649156e-01
    ## [1228,] 0.34934628 0.3975319727 1.507880e-01
    ## [1229,] 0.38669397 0.3625255950 1.132892e-01
    ## [1230,] 0.43623913 0.2755194522 5.800410e-02
    ## [1231,] 0.40602867 0.1184250277 1.151354e-02
    ## [1232,] 0.38669397 0.3625255950 1.132892e-01
    ## [1233,] 0.09063140 0.0030210466 3.356718e-05
    ## [1234,] 0.24369776 0.4430868383 2.685375e-01
    ## [1235,] 0.44409385 0.2114732637 3.356718e-02
    ## [1236,] 0.20448709 0.0179374643 5.244873e-04
    ## [1237,] 0.30633413 0.4241549461 1.957638e-01
    ## [1238,] 0.11842503 0.4060286664 4.640328e-01
    ## [1239,] 0.39753197 0.3493462791 1.023338e-01
    ## [1240,] 0.43333138 0.1637029640 2.061445e-02
    ## [1241,] 0.44035531 0.2596967205 5.105149e-02
    ## [1242,] 0.44308684 0.2436977611 4.467792e-02
    ## [1243,] 0.36252559 0.3866939680 1.374912e-01
    ## [1244,] 0.43333138 0.1637029640 2.061445e-02
    ## [1245,] 0.43081384 0.2910904300 6.556091e-02
    ## [1246,] 0.20448709 0.0179374643 5.244873e-04
    ## [1247,] 0.23685006 0.0253767916 9.063140e-04
    ## [1248,] 0.36252559 0.3866939680 1.374912e-01
    ## [1249,] 0.29109043 0.4308138364 2.125348e-01
    ## [1250,] 0.44035531 0.2596967205 5.105149e-02
    ## [1251,] 0.30633413 0.4241549461 1.957638e-01
    ## [1252,] 0.44435820 0.2275981001 3.885821e-02
    ## [1253,] 0.43333138 0.1637029640 2.061445e-02
    ## [1254,] 0.34934628 0.3975319727 1.507880e-01
    ## [1255,] 0.29109043 0.4308138364 2.125348e-01
    ## [1256,] 0.25969672 0.4403553087 2.488965e-01
    ## [1257,] 0.13145329 0.0066840657 1.132892e-04
    ## [1258,] 0.21147326 0.4440938538 3.108657e-01
    ## [1259,] 0.27551945 0.4362391326 2.302373e-01
    ## [1260,] 0.40602867 0.1184250277 1.151354e-02
    ## [1261,] 0.34037125 0.0654560102 4.195898e-03
    ## [1262,] 0.21147326 0.4440938538 3.108657e-01
    ## [1263,] 0.29109043 0.4308138364 2.125348e-01
    ## [1264,] 0.43865597 0.1794501695 2.447048e-02
    ## [1265,] 0.40743849 0.3355375785 9.210835e-02
    ## [1266,] 0.42415495 0.3063341278 7.374710e-02
    ## [1267,] 0.43865597 0.1794501695 2.447048e-02
    ## [1268,] 0.44035531 0.2596967205 5.105149e-02
    ## [1269,] 0.16938001 0.0116813803 2.685375e-04
    ## [1270,] 0.34934628 0.3975319727 1.507880e-01
    ## [1271,] 0.25969672 0.4403553087 2.488965e-01
    ## [1272,] 0.29109043 0.4308138364 2.125348e-01
    ## [1273,] 0.43865597 0.1794501695 2.447048e-02
    ## [1274,] 0.44409385 0.2114732637 3.356718e-02
    ## [1275,] 0.42415495 0.3063341278 7.374710e-02
    ## [1276,] 0.27551945 0.4362391326 2.302373e-01
    ## [1277,] 0.44409385 0.2114732637 3.356718e-02
    ## [1278,] 0.43865597 0.1794501695 2.447048e-02
    ## [1279,] 0.34037125 0.0654560102 4.195898e-03
    ## [1280,] 0.34934628 0.3975319727 1.507880e-01
    ## [1281,] 0.29109043 0.4308138364 2.125348e-01
    ## [1282,] 0.44435820 0.2275981001 3.885821e-02
    ## [1283,] 0.43623913 0.2755194522 5.800410e-02
    ## [1284,] 0.41709325 0.1331148669 1.416116e-02
    ## [1285,] 0.44308684 0.2436977611 4.467792e-02
    ## [1286,] 0.44308684 0.2436977611 4.467792e-02
    ## [1287,] 0.34934628 0.3975319727 1.507880e-01
    ## [1288,] 0.01168138 0.1693800141 8.186701e-01
    ## [1289,] 0.25969672 0.4403553087 2.488965e-01
    ## [1290,] 0.26654443 0.0339238361 1.439193e-03
    ## [1291,] 0.31822950 0.0540389715 3.058810e-03
    ## [1292,] 0.41709325 0.1331148669 1.416116e-02
    ## [1293,] 0.42616898 0.1482326877 1.718640e-02
    ## [1294,] 0.39753197 0.3493462791 1.023338e-01
    ## [1295,] 0.39289970 0.1042386963 9.218388e-03
    ## [1296,] 0.40743849 0.3355375785 9.210835e-02
    ## [1297,] 0.39753197 0.3493462791 1.023338e-01
    ## [1298,] 0.37500000 0.3750000000 1.250000e-01
    ## [1299,] 0.34934628 0.3975319727 1.507880e-01
    ## [1300,] 0.39289970 0.1042386963 9.218388e-03
    ## [1301,] 0.38669397 0.3625255950 1.132892e-01
    ## [1302,] 0.30633413 0.4241549461 1.957638e-01
    ## [1303,] 0.27551945 0.4362391326 2.302373e-01
    ## [1304,] 0.40602867 0.1184250277 1.151354e-02
    ## [1305,] 0.21147326 0.4440938538 3.108657e-01
    ## [1306,] 0.43623913 0.2755194522 5.800410e-02
    ## [1307,] 0.40743849 0.3355375785 9.210835e-02
    ## [1308,] 0.32117502 0.4163379880 1.798991e-01
    ## [1309,] 0.40602867 0.1184250277 1.151354e-02
    ## [1310,] 0.37763083 0.0906313987 7.250512e-03
    ## [1311,] 0.36252559 0.3866939680 1.374912e-01
    ## [1312,] 0.44308684 0.2436977611 4.467792e-02
    ## [1313,] 0.29109043 0.4308138364 2.125348e-01
    ## [1314,] 0.43333138 0.1637029640 2.061445e-02
    ## [1315,] 0.41709325 0.1331148669 1.416116e-02
    ## [1316,] 0.44409385 0.2114732637 3.356718e-02
    ## [1317,] 0.43623913 0.2755194522 5.800410e-02
    ## [1318,] 0.41633799 0.3211750193 8.258786e-02
    ## [1319,] 0.37763083 0.0906313987 7.250512e-03
    ## [1320,] 0.42616898 0.1482326877 1.718640e-02
    ## [1321,] 0.43081384 0.2910904300 6.556091e-02
    ## [1322,] 0.24369776 0.4430868383 2.685375e-01
    ## [1323,] 0.42415495 0.3063341278 7.374710e-02
    ## [1324,] 0.34037125 0.0654560102 4.195898e-03
    ## [1325,] 0.44221829 0.1953987782 2.877966e-02
    ## [1326,] 0.27551945 0.4362391326 2.302373e-01
    ## [1327,] 0.44409385 0.2114732637 3.356718e-02
    ## [1328,] 0.44035531 0.2596967205 5.105149e-02
    ## [1329,] 0.17945017 0.4386559699 3.574234e-01
    ## [1330,] 0.44308684 0.2436977611 4.467792e-02
    ## [1331,] 0.34934628 0.3975319727 1.507880e-01
    ## [1332,] 0.44035531 0.2596967205 5.105149e-02
    ## [1333,] 0.33553758 0.4074384881 1.649156e-01
    ## [1334,] 0.31822950 0.0540389715 3.058810e-03
    ## [1335,] 0.33553758 0.4074384881 1.649156e-01
    ## [1336,] 0.34934628 0.3975319727 1.507880e-01
    ## [1337,] 0.34934628 0.3975319727 1.507880e-01
    ## [1338,] 0.34037125 0.0654560102 4.195898e-03
    ## [1339,] 0.37500000 0.3750000000 1.250000e-01
    ## [1340,] 0.19539878 0.4422182874 3.336033e-01
    ## [1341,] 0.38669397 0.3625255950 1.132892e-01
    ## [1342,] 0.39289970 0.1042386963 9.218388e-03
    ## [1343,] 0.32117502 0.4163379880 1.798991e-01
    ## [1344,] 0.37500000 0.3750000000 1.250000e-01
    ## [1345,] 0.38669397 0.3625255950 1.132892e-01
    ## [1346,] 0.42415495 0.3063341278 7.374710e-02
    ## [1347,] 0.20448709 0.0179374643 5.244873e-04
    ## [1348,] 0.43623913 0.2755194522 5.800410e-02
    ## [1349,] 0.40602867 0.1184250277 1.151354e-02
    ## [1350,] 0.43081384 0.2910904300 6.556091e-02
    ## [1351,] 0.29364573 0.0435030714 2.148300e-03
    ## [1352,] 0.10423870 0.3928997013 4.936432e-01
    ## [1353,] 0.39289970 0.1042386963 9.218388e-03
    ## [1354,] 0.37500000 0.3750000000 1.250000e-01
    ## [1355,] 0.36014652 0.0776786613 5.584740e-03
    ## [1356,] 0.44035531 0.2596967205 5.105149e-02
    ## [1357,] 0.44435820 0.2275981001 3.885821e-02
    ## [1358,] 0.43081384 0.2910904300 6.556091e-02
    ## [1359,] 0.43865597 0.1794501695 2.447048e-02
    ## [1360,] 0.24369776 0.4430868383 2.685375e-01
    ## [1361,] 0.41633799 0.3211750193 8.258786e-02
    ## [1362,] 0.13145329 0.0066840657 1.132892e-04
    ## [1363,] 0.44435820 0.2275981001 3.885821e-02
    ## [1364,] 0.34037125 0.0654560102 4.195898e-03
    ## [1365,] 0.30633413 0.4241549461 1.957638e-01
    ## [1366,] 0.23685006 0.0253767916 9.063140e-04
    ## [1367,] 0.25969672 0.4403553087 2.488965e-01
    ## [1368,] 0.39753197 0.3493462791 1.023338e-01
    ## [1369,] 0.42415495 0.3063341278 7.374710e-02
    ## [1370,] 0.40602867 0.1184250277 1.151354e-02
    ## [1371,] 0.44435820 0.2275981001 3.885821e-02
    ## [1372,] 0.43623913 0.2755194522 5.800410e-02
    ## [1373,] 0.23685006 0.0253767916 9.063140e-04
    ## [1374,] 0.41709325 0.1331148669 1.416116e-02
    ## [1375,] 0.34037125 0.0654560102 4.195898e-03
    ## [1376,] 0.16938001 0.0116813803 2.685375e-04
    ## [1377,] 0.44221829 0.1953987782 2.877966e-02
    ## [1378,] 0.00000000 0.0000000000 0.000000e+00
    ## [1379,] 0.44221829 0.1953987782 2.877966e-02
    ## [1380,] 0.43081384 0.2910904300 6.556091e-02
    ## [1381,] 0.37500000 0.3750000000 1.250000e-01
    ## [1382,] 0.33553758 0.4074384881 1.649156e-01
    ## [1383,] 0.42616898 0.1482326877 1.718640e-02
    ## [1384,] 0.43333138 0.1637029640 2.061445e-02
    ## [1385,] 0.42616898 0.1482326877 1.718640e-02
    ## [1386,] 0.36252559 0.3866939680 1.374912e-01
    ## [1387,] 0.36252559 0.3866939680 1.374912e-01
    ## [1388,] 0.29109043 0.4308138364 2.125348e-01
    ## [1389,] 0.27551945 0.4362391326 2.302373e-01
    ## [1390,] 0.36252559 0.3866939680 1.374912e-01
    ## [1391,] 0.42415495 0.3063341278 7.374710e-02
    ## [1392,] 0.37763083 0.0906313987 7.250512e-03
    ## [1393,] 0.42616898 0.1482326877 1.718640e-02
    ## [1394,] 0.36252559 0.3866939680 1.374912e-01
    ## [1395,] 0.32117502 0.4163379880 1.798991e-01
    ## [1396,] 0.44308684 0.2436977611 4.467792e-02
    ## [1397,] 0.43865597 0.1794501695 2.447048e-02
    ## [1398,] 0.30633413 0.4241549461 1.957638e-01
    ## [1399,] 0.42415495 0.3063341278 7.374710e-02
    ## [1400,] 0.00000000 0.0000000000 1.000000e+00
    ## [1401,] 0.41633799 0.3211750193 8.258786e-02
    ## [1402,] 0.34934628 0.3975319727 1.507880e-01
    ## [1403,] 0.21147326 0.4440938538 3.108657e-01
    ## [1404,] 0.41709325 0.1331148669 1.416116e-02
    ## [1405,] 0.44221829 0.1953987782 2.877966e-02
    ## [1406,] 0.22759810 0.4443581954 2.891855e-01
    ## [1407,] 0.27551945 0.4362391326 2.302373e-01
    ## [1408,] 0.44221829 0.1953987782 2.877966e-02
    ## [1409,] 0.43865597 0.1794501695 2.447048e-02
    ## [1410,] 0.41633799 0.3211750193 8.258786e-02
    ## [1411,] 0.43865597 0.1794501695 2.447048e-02
    ## [1412,] 0.20448709 0.0179374643 5.244873e-04
    ## [1413,] 0.41709325 0.1331148669 1.416116e-02
    ## [1414,] 0.44221829 0.1953987782 2.877966e-02
    ## [1415,] 0.27551945 0.4362391326 2.302373e-01
    ## [1416,] 0.16938001 0.0116813803 2.685375e-04
    ## [1417,] 0.21147326 0.4440938538 3.108657e-01
    ## [1418,] 0.37763083 0.0906313987 7.250512e-03
    ## [1419,] 0.36252559 0.3866939680 1.374912e-01
    ## [1420,] 0.44409385 0.2114732637 3.356718e-02
    ## [1421,] 0.29109043 0.4308138364 2.125348e-01
    ## [1422,] 0.44435820 0.2275981001 3.885821e-02
    ## [1423,] 0.05403897 0.3182294988 6.246727e-01
    ## [1424,] 0.41709325 0.1331148669 1.416116e-02
    ## [1425,] 0.41633799 0.3211750193 8.258786e-02
    ## [1426,] 0.44035531 0.2596967205 5.105149e-02
    ## [1427,] 0.22759810 0.4443581954 2.891855e-01
    ## [1428,] 0.41709325 0.1331148669 1.416116e-02
    ## [1429,] 0.39753197 0.3493462791 1.023338e-01
    ## [1430,] 0.42616898 0.1482326877 1.718640e-02
    ## [1431,] 0.20448709 0.0179374643 5.244873e-04
    ## [1432,] 0.40602867 0.1184250277 1.151354e-02
    ## [1433,] 0.37763083 0.0906313987 7.250512e-03
    ## [1434,] 0.33553758 0.4074384881 1.649156e-01
    ## [1435,] 0.36252559 0.3866939680 1.374912e-01
    ## [1436,] 0.25969672 0.4403553087 2.488965e-01
    ## [1437,] 0.40743849 0.3355375785 9.210835e-02
    ## [1438,] 0.40602867 0.1184250277 1.151354e-02
    ## [1439,] 0.32117502 0.4163379880 1.798991e-01
    ## [1440,] 0.39289970 0.1042386963 9.218388e-03
    ## [1441,] 0.44221829 0.1953987782 2.877966e-02
    ## [1442,] 0.23685006 0.0253767916 9.063140e-04
    ## [1443,] 0.32117502 0.4163379880 1.798991e-01
    ## [1444,] 0.44435820 0.2275981001 3.885821e-02
    ## [1445,] 0.43865597 0.1794501695 2.447048e-02
    ## [1446,] 0.41633799 0.3211750193 8.258786e-02
    ## [1447,] 0.43081384 0.2910904300 6.556091e-02
    ## [1448,] 0.09063140 0.0030210466 3.356718e-05
    ## [1449,] 0.31822950 0.0540389715 3.058810e-03
    ## [1450,] 0.43333138 0.1637029640 2.061445e-02
    ## [1451,] 0.36252559 0.3866939680 1.374912e-01
    ## [1452,] 0.27551945 0.4362391326 2.302373e-01
    ## [1453,] 0.43333138 0.1637029640 2.061445e-02
    ## [1454,] 0.20448709 0.0179374643 5.244873e-04
    ## [1455,] 0.30633413 0.4241549461 1.957638e-01
    ## [1456,] 0.43081384 0.2910904300 6.556091e-02
    ## [1457,] 0.43623913 0.2755194522 5.800410e-02
    ## [1458,] 0.34934628 0.3975319727 1.507880e-01
    ## [1459,] 0.37500000 0.3750000000 1.250000e-01
    ## [1460,] 0.36252559 0.3866939680 1.374912e-01
    ## [1461,] 0.44409385 0.2114732637 3.356718e-02
    ## [1462,] 0.44035531 0.2596967205 5.105149e-02
    ## [1463,] 0.34934628 0.3975319727 1.507880e-01
    ## [1464,] 0.34934628 0.3975319727 1.507880e-01
    ## [1465,] 0.42415495 0.3063341278 7.374710e-02
    ## [1466,] 0.43081384 0.2910904300 6.556091e-02
    ## [1467,] 0.42616898 0.1482326877 1.718640e-02
    ## [1468,] 0.43081384 0.2910904300 6.556091e-02
    ## [1469,] 0.22759810 0.4443581954 2.891855e-01
    ## [1470,] 0.44308684 0.2436977611 4.467792e-02
    ## [1471,] 0.37500000 0.3750000000 1.250000e-01
    ## [1472,] 0.29109043 0.4308138364 2.125348e-01
    ## [1473,] 0.36014652 0.0776786613 5.584740e-03
    ## [1474,] 0.11842503 0.4060286664 4.640328e-01
    ## [1475,] 0.19539878 0.4422182874 3.336033e-01
    ## [1476,] 0.42616898 0.1482326877 1.718640e-02
    ## [1477,] 0.44035531 0.2596967205 5.105149e-02
    ## [1478,] 0.29364573 0.0435030714 2.148300e-03
    ## [1479,] 0.42415495 0.3063341278 7.374710e-02
    ## [1480,] 0.21147326 0.4440938538 3.108657e-01
    ## [1481,] 0.25969672 0.4403553087 2.488965e-01
    ## [1482,] 0.44221829 0.1953987782 2.877966e-02
    ## [1483,] 0.17945017 0.4386559699 3.574234e-01
    ## [1484,] 0.44308684 0.2436977611 4.467792e-02
    ## [1485,] 0.44435820 0.2275981001 3.885821e-02
    ## [1486,] 0.41633799 0.3211750193 8.258786e-02
    ## [1487,] 0.44035531 0.2596967205 5.105149e-02
    ## [1488,] 0.34037125 0.0654560102 4.195898e-03
    ## [1489,] 0.24369776 0.4430868383 2.685375e-01
    ## [1490,] 0.39753197 0.3493462791 1.023338e-01
    ## [1491,] 0.29364573 0.0435030714 2.148300e-03
    ## [1492,] 0.33553758 0.4074384881 1.649156e-01
    ## [1493,] 0.39289970 0.1042386963 9.218388e-03
    ## [1494,] 0.33553758 0.4074384881 1.649156e-01
    ## [1495,] 0.44409385 0.2114732637 3.356718e-02
    ## [1496,] 0.36014652 0.0776786613 5.584740e-03
    ## [1497,] 0.43623913 0.2755194522 5.800410e-02
    ## [1498,] 0.25969672 0.4403553087 2.488965e-01
    ## [1499,] 0.44435820 0.2275981001 3.885821e-02
    ## [1500,] 0.29364573 0.0435030714 2.148300e-03
    ## [1501,] 0.43623913 0.2755194522 5.800410e-02
    ## [1502,] 0.38669397 0.3625255950 1.132892e-01
    ## [1503,] 0.30633413 0.4241549461 1.957638e-01
    ## [1504,] 0.44221829 0.1953987782 2.877966e-02
    ## [1505,] 0.39289970 0.1042386963 9.218388e-03
    ## [1506,] 0.44035531 0.2596967205 5.105149e-02
    ## [1507,] 0.44221829 0.1953987782 2.877966e-02
    ## [1508,] 0.43081384 0.2910904300 6.556091e-02
    ## [1509,] 0.30633413 0.4241549461 1.957638e-01
    ## [1510,] 0.41633799 0.3211750193 8.258786e-02
    ## [1511,] 0.13145329 0.0066840657 1.132892e-04
    ## [1512,] 0.22759810 0.4443581954 2.891855e-01
    ## [1513,] 0.41709325 0.1331148669 1.416116e-02
    ## [1514,] 0.41633799 0.3211750193 8.258786e-02
    ## [1515,] 0.32117502 0.4163379880 1.798991e-01
    ## [1516,] 0.16370296 0.4333313752 3.823512e-01
    ## [1517,] 0.27551945 0.4362391326 2.302373e-01
    ## [1518,] 0.13145329 0.0066840657 1.132892e-04
    ## [1519,] 0.44435820 0.2275981001 3.885821e-02
    ## [1520,] 0.37763083 0.0906313987 7.250512e-03
    ## [1521,] 0.43623913 0.2755194522 5.800410e-02
    ## [1522,] 0.44308684 0.2436977611 4.467792e-02
    ## [1523,] 0.39753197 0.3493462791 1.023338e-01
    ## [1524,] 0.43081384 0.2910904300 6.556091e-02
    ## [1525,] 0.43623913 0.2755194522 5.800410e-02
    ## [1526,] 0.44435820 0.2275981001 3.885821e-02
    ## [1527,] 0.21147326 0.4440938538 3.108657e-01
    ## [1528,] 0.25969672 0.4403553087 2.488965e-01
    ## [1529,] 0.37500000 0.3750000000 1.250000e-01
    ## [1530,] 0.41709325 0.1331148669 1.416116e-02
    ## [1531,] 0.22759810 0.4443581954 2.891855e-01
    ## [1532,] 0.34037125 0.0654560102 4.195898e-03
    ## [1533,] 0.37500000 0.3750000000 1.250000e-01
    ## [1534,] 0.43865597 0.1794501695 2.447048e-02
    ## [1535,] 0.29364573 0.0435030714 2.148300e-03
    ## [1536,] 0.16938001 0.0116813803 2.685375e-04
    ## [1537,] 0.39753197 0.3493462791 1.023338e-01
    ## [1538,] 0.22759810 0.4443581954 2.891855e-01
    ## [1539,] 0.44035531 0.2596967205 5.105149e-02
    ## [1540,] 0.40602867 0.1184250277 1.151354e-02
    ## [1541,] 0.41633799 0.3211750193 8.258786e-02
    ## [1542,] 0.44435820 0.2275981001 3.885821e-02
    ## [1543,] 0.14823269 0.4261689772 4.084119e-01
    ## [1544,] 0.43865597 0.1794501695 2.447048e-02
    ## [1545,] 0.19539878 0.4422182874 3.336033e-01
    ## [1546,] 0.33553758 0.4074384881 1.649156e-01
    ## [1547,] 0.43865597 0.1794501695 2.447048e-02
    ## [1548,] 0.44435820 0.2275981001 3.885821e-02
    ## [1549,] 0.37500000 0.3750000000 1.250000e-01
    ## [1550,] 0.44308684 0.2436977611 4.467792e-02
    ## [1551,] 0.37500000 0.3750000000 1.250000e-01
    ## [1552,] 0.22759810 0.4443581954 2.891855e-01
    ## [1553,] 0.44435820 0.2275981001 3.885821e-02
    ## [1554,] 0.34934628 0.3975319727 1.507880e-01
    ## [1555,] 0.16370296 0.4333313752 3.823512e-01
    ## [1556,] 0.32117502 0.4163379880 1.798991e-01
    ## [1557,] 0.26654443 0.0339238361 1.439193e-03
    ## [1558,] 0.43865597 0.1794501695 2.447048e-02
    ## [1559,] 0.04683881 0.0007678494 4.195898e-06
    ## [1560,] 0.39753197 0.3493462791 1.023338e-01
    ## [1561,] 0.44308684 0.2436977611 4.467792e-02
    ## [1562,] 0.44409385 0.2114732637 3.356718e-02
    ## [1563,] 0.16370296 0.4333313752 3.823512e-01
    ## [1564,] 0.41633799 0.3211750193 8.258786e-02
    ## [1565,] 0.40602867 0.1184250277 1.151354e-02
    ## [1566,] 0.44221829 0.1953987782 2.877966e-02
    ## [1567,] 0.44035531 0.2596967205 5.105149e-02
    ## [1568,] 0.44435820 0.2275981001 3.885821e-02
    ## [1569,] 0.44308684 0.2436977611 4.467792e-02
    ## [1570,] 0.41709325 0.1331148669 1.416116e-02
    ## [1571,] 0.43333138 0.1637029640 2.061445e-02
    ## [1572,] 0.16370296 0.4333313752 3.823512e-01
    ## [1573,] 0.41633799 0.3211750193 8.258786e-02
    ## [1574,] 0.39289970 0.1042386963 9.218388e-03
    ## [1575,] 0.11842503 0.4060286664 4.640328e-01
    ## [1576,] 0.41633799 0.3211750193 8.258786e-02
    ## [1577,] 0.39753197 0.3493462791 1.023338e-01
    ## [1578,] 0.43333138 0.1637029640 2.061445e-02
    ## [1579,] 0.33553758 0.4074384881 1.649156e-01
    ## [1580,] 0.17945017 0.4386559699 3.574234e-01
    ## [1581,] 0.39753197 0.3493462791 1.023338e-01
    ## [1582,] 0.38669397 0.3625255950 1.132892e-01
    ## [1583,] 0.29109043 0.4308138364 2.125348e-01
    ## [1584,] 0.14823269 0.4261689772 4.084119e-01
    ## [1585,] 0.36014652 0.0776786613 5.584740e-03
    ## [1586,] 0.44035531 0.2596967205 5.105149e-02
    ## [1587,] 0.24369776 0.4430868383 2.685375e-01
    ## [1588,] 0.44035531 0.2596967205 5.105149e-02
    ## [1589,] 0.42616898 0.1482326877 1.718640e-02
    ## [1590,] 0.43081384 0.2910904300 6.556091e-02
    ## [1591,] 0.20448709 0.0179374643 5.244873e-04
    ## [1592,] 0.44308684 0.2436977611 4.467792e-02
    ## [1593,] 0.40743849 0.3355375785 9.210835e-02
    ## [1594,] 0.43333138 0.1637029640 2.061445e-02
    ## [1595,] 0.39753197 0.3493462791 1.023338e-01
    ## [1596,] 0.42616898 0.1482326877 1.718640e-02
    ## [1597,] 0.25969672 0.4403553087 2.488965e-01
    ## [1598,] 0.40602867 0.1184250277 1.151354e-02
    ## [1599,] 0.29109043 0.4308138364 2.125348e-01
    ## [1600,] 0.16938001 0.0116813803 2.685375e-04
    ## [1601,] 0.31822950 0.0540389715 3.058810e-03
    ## [1602,] 0.42616898 0.1482326877 1.718640e-02
    ## [1603,] 0.38669397 0.3625255950 1.132892e-01
    ## [1604,] 0.20448709 0.0179374643 5.244873e-04
    ## [1605,] 0.43333138 0.1637029640 2.061445e-02
    ## [1606,] 0.36252559 0.3866939680 1.374912e-01
    ## [1607,] 0.29109043 0.4308138364 2.125348e-01
    ## [1608,] 0.39753197 0.3493462791 1.023338e-01
    ## [1609,] 0.16938001 0.0116813803 2.685375e-04
    ## [1610,] 0.43623913 0.2755194522 5.800410e-02
    ## [1611,] 0.39753197 0.3493462791 1.023338e-01
    ## [1612,] 0.38669397 0.3625255950 1.132892e-01
    ## [1613,] 0.34037125 0.0654560102 4.195898e-03
    ## [1614,] 0.37500000 0.3750000000 1.250000e-01
    ## [1615,] 0.34934628 0.3975319727 1.507880e-01
    ## [1616,] 0.29109043 0.4308138364 2.125348e-01
    ## [1617,] 0.37500000 0.3750000000 1.250000e-01
    ## [1618,] 0.42415495 0.3063341278 7.374710e-02
    ## [1619,] 0.26654443 0.0339238361 1.439193e-03
    ## [1620,] 0.03392384 0.2665444262 6.980925e-01
    ## [1621,] 0.33553758 0.4074384881 1.649156e-01
    ## [1622,] 0.34037125 0.0654560102 4.195898e-03
    ## [1623,] 0.34934628 0.3975319727 1.507880e-01
    ## [1624,] 0.42415495 0.3063341278 7.374710e-02
    ## [1625,] 0.42415495 0.3063341278 7.374710e-02
    ## [1626,] 0.36014652 0.0776786613 5.584740e-03
    ## [1627,] 0.38669397 0.3625255950 1.132892e-01
    ## [1628,] 0.44308684 0.2436977611 4.467792e-02
    ## [1629,] 0.38669397 0.3625255950 1.132892e-01
    ## [1630,] 0.07767866 0.3601465208 5.565901e-01
    ## [1631,] 0.38669397 0.3625255950 1.132892e-01
    ## [1632,] 0.03392384 0.2665444262 6.980925e-01
    ## [1633,] 0.37763083 0.0906313987 7.250512e-03
    ## [1634,] 0.44035531 0.2596967205 5.105149e-02
    ## [1635,] 0.38669397 0.3625255950 1.132892e-01
    ## [1636,] 0.44308684 0.2436977611 4.467792e-02
    ## [1637,] 0.30633413 0.4241549461 1.957638e-01
    ## [1638,] 0.41709325 0.1331148669 1.416116e-02
    ## [1639,] 0.43623913 0.2755194522 5.800410e-02
    ## [1640,] 0.39289970 0.1042386963 9.218388e-03
    ## [1641,] 0.42415495 0.3063341278 7.374710e-02
    ## [1642,] 0.41633799 0.3211750193 8.258786e-02
    ## [1643,] 0.44308684 0.2436977611 4.467792e-02
    ## [1644,] 0.04683881 0.0007678494 4.195898e-06
    ## [1645,] 0.27551945 0.4362391326 2.302373e-01
    ## [1646,] 0.29109043 0.4308138364 2.125348e-01
    ## [1647,] 0.22759810 0.4443581954 2.891855e-01
    ## [1648,] 0.37500000 0.3750000000 1.250000e-01
    ## [1649,] 0.42616898 0.1482326877 1.718640e-02
    ## [1650,] 0.39753197 0.3493462791 1.023338e-01
    ## [1651,] 0.41709325 0.1331148669 1.416116e-02
    ## [1652,] 0.43333138 0.1637029640 2.061445e-02
    ## [1653,] 0.44308684 0.2436977611 4.467792e-02
    ## [1654,] 0.32117502 0.4163379880 1.798991e-01
    ## [1655,] 0.39753197 0.3493462791 1.023338e-01
    ## [1656,] 0.41633799 0.3211750193 8.258786e-02
    ## [1657,] 0.42616898 0.1482326877 1.718640e-02
    ## [1658,] 0.26654443 0.0339238361 1.439193e-03
    ## [1659,] 0.27551945 0.4362391326 2.302373e-01
    ## [1660,] 0.30633413 0.4241549461 1.957638e-01
    ## [1661,] 0.44035531 0.2596967205 5.105149e-02
    ## [1662,] 0.40743849 0.3355375785 9.210835e-02
    ## [1663,] 0.42415495 0.3063341278 7.374710e-02
    ## [1664,] 0.40743849 0.3355375785 9.210835e-02
    ## [1665,] 0.44409385 0.2114732637 3.356718e-02
    ## [1666,] 0.43865597 0.1794501695 2.447048e-02
    ## [1667,] 0.33553758 0.4074384881 1.649156e-01
    ## [1668,] 0.44435820 0.2275981001 3.885821e-02
    ## [1669,] 0.16938001 0.0116813803 2.685375e-04
    ## [1670,] 0.32117502 0.4163379880 1.798991e-01
    ## [1671,] 0.43865597 0.1794501695 2.447048e-02
    ## [1672,] 0.44221829 0.1953987782 2.877966e-02
    ## [1673,] 0.44308684 0.2436977611 4.467792e-02
    ## [1674,] 0.34934628 0.3975319727 1.507880e-01
    ## [1675,] 0.27551945 0.4362391326 2.302373e-01
    ## [1676,] 0.36252559 0.3866939680 1.374912e-01
    ## [1677,] 0.38669397 0.3625255950 1.132892e-01
    ## [1678,] 0.38669397 0.3625255950 1.132892e-01
    ## [1679,] 0.40602867 0.1184250277 1.151354e-02
    ## [1680,] 0.37763083 0.0906313987 7.250512e-03
    ## [1681,] 0.37763083 0.0906313987 7.250512e-03
    ## [1682,] 0.41709325 0.1331148669 1.416116e-02
    ## [1683,] 0.27551945 0.4362391326 2.302373e-01
    ## [1684,] 0.40743849 0.3355375785 9.210835e-02
    ## [1685,] 0.37500000 0.3750000000 1.250000e-01
    ## [1686,] 0.23685006 0.0253767916 9.063140e-04
    ## [1687,] 0.32117502 0.4163379880 1.798991e-01
    ## [1688,] 0.42616898 0.1482326877 1.718640e-02
    ## [1689,] 0.27551945 0.4362391326 2.302373e-01
    ## [1690,] 0.38669397 0.3625255950 1.132892e-01
    ## [1691,] 0.39753197 0.3493462791 1.023338e-01
    ## [1692,] 0.33553758 0.4074384881 1.649156e-01
    ## [1693,] 0.44308684 0.2436977611 4.467792e-02
    ## [1694,] 0.44308684 0.2436977611 4.467792e-02
    ## [1695,] 0.16938001 0.0116813803 2.685375e-04
    ## [1696,] 0.38669397 0.3625255950 1.132892e-01
    ## [1697,] 0.40743849 0.3355375785 9.210835e-02
    ## [1698,] 0.42616898 0.1482326877 1.718640e-02
    ## [1699,] 0.40602867 0.1184250277 1.151354e-02
    ## [1700,] 0.32117502 0.4163379880 1.798991e-01
    ## [1701,] 0.40602867 0.1184250277 1.151354e-02
    ## [1702,] 0.44435820 0.2275981001 3.885821e-02
    ## [1703,] 0.34934628 0.3975319727 1.507880e-01
    ## [1704,] 0.11842503 0.4060286664 4.640328e-01
    ## [1705,] 0.44308684 0.2436977611 4.467792e-02
    ## [1706,] 0.33553758 0.4074384881 1.649156e-01
    ## [1707,] 0.43865597 0.1794501695 2.447048e-02
    ## [1708,] 0.39753197 0.3493462791 1.023338e-01
    ## [1709,] 0.37500000 0.3750000000 1.250000e-01
    ## [1710,] 0.32117502 0.4163379880 1.798991e-01
    ## [1711,] 0.11842503 0.4060286664 4.640328e-01
    ## [1712,] 0.41709325 0.1331148669 1.416116e-02
    ## [1713,] 0.24369776 0.4430868383 2.685375e-01
    ## [1714,] 0.44035531 0.2596967205 5.105149e-02
    ## [1715,] 0.30633413 0.4241549461 1.957638e-01
    ## [1716,] 0.29364573 0.0435030714 2.148300e-03
    ## [1717,] 0.23685006 0.0253767916 9.063140e-04
    ## [1718,] 0.17945017 0.4386559699 3.574234e-01
    ## [1719,] 0.16370296 0.4333313752 3.823512e-01
    ## [1720,] 0.29364573 0.0435030714 2.148300e-03
    ## [1721,] 0.20448709 0.0179374643 5.244873e-04
    ## [1722,] 0.39289970 0.1042386963 9.218388e-03
    ## [1723,] 0.43081384 0.2910904300 6.556091e-02
    ## [1724,] 0.38669397 0.3625255950 1.132892e-01
    ## [1725,] 0.41633799 0.3211750193 8.258786e-02
    ## [1726,] 0.38669397 0.3625255950 1.132892e-01
    ## [1727,] 0.16370296 0.4333313752 3.823512e-01
    ## [1728,] 0.07767866 0.3601465208 5.565901e-01
    ## [1729,] 0.39289970 0.1042386963 9.218388e-03
    ## [1730,] 0.44409385 0.2114732637 3.356718e-02
    ## [1731,] 0.43081384 0.2910904300 6.556091e-02
    ## [1732,] 0.04683881 0.0007678494 4.195898e-06
    ## [1733,] 0.29364573 0.0435030714 2.148300e-03
    ## [1734,] 0.44221829 0.1953987782 2.877966e-02
    ## [1735,] 0.37763083 0.0906313987 7.250512e-03
    ## [1736,] 0.13311487 0.4170932496 4.356307e-01
    ## [1737,] 0.30633413 0.4241549461 1.957638e-01
    ## [1738,] 0.27551945 0.4362391326 2.302373e-01
    ## [1739,] 0.38669397 0.3625255950 1.132892e-01
    ## [1740,] 0.44221829 0.1953987782 2.877966e-02
    ## [1741,] 0.40743849 0.3355375785 9.210835e-02
    ## [1742,] 0.44221829 0.1953987782 2.877966e-02
    ## [1743,] 0.24369776 0.4430868383 2.685375e-01
    ## [1744,] 0.33553758 0.4074384881 1.649156e-01
    ## [1745,] 0.41633799 0.3211750193 8.258786e-02
    ## [1746,] 0.34934628 0.3975319727 1.507880e-01
    ## [1747,] 0.36252559 0.3866939680 1.374912e-01
    ## [1748,] 0.43623913 0.2755194522 5.800410e-02
    ## [1749,] 0.40743849 0.3355375785 9.210835e-02
    ## [1750,] 0.43081384 0.2910904300 6.556091e-02
    ## [1751,] 0.39753197 0.3493462791 1.023338e-01
    ## [1752,] 0.42415495 0.3063341278 7.374710e-02
    ## [1753,] 0.43865597 0.1794501695 2.447048e-02
    ## [1754,] 0.36014652 0.0776786613 5.584740e-03
    ## [1755,] 0.44308684 0.2436977611 4.467792e-02
    ## [1756,] 0.09063140 0.0030210466 3.356718e-05
    ## [1757,] 0.40602867 0.1184250277 1.151354e-02
    ## [1758,] 0.34037125 0.0654560102 4.195898e-03
    ## [1759,] 0.44035531 0.2596967205 5.105149e-02
    ## [1760,] 0.30633413 0.4241549461 1.957638e-01
    ## [1761,] 0.04683881 0.0007678494 4.195898e-06
    ## [1762,] 0.22759810 0.4443581954 2.891855e-01
    ## [1763,] 0.37763083 0.0906313987 7.250512e-03
    ## [1764,] 0.23685006 0.0253767916 9.063140e-04
    ## [1765,] 0.29364573 0.0435030714 2.148300e-03
    ## [1766,] 0.44435820 0.2275981001 3.885821e-02
    ## [1767,] 0.38669397 0.3625255950 1.132892e-01
    ## [1768,] 0.43623913 0.2755194522 5.800410e-02
    ## [1769,] 0.42415495 0.3063341278 7.374710e-02
    ## [1770,] 0.26654443 0.0339238361 1.439193e-03
    ## [1771,] 0.40743849 0.3355375785 9.210835e-02
    ## [1772,] 0.33553758 0.4074384881 1.649156e-01
    ## [1773,] 0.41709325 0.1331148669 1.416116e-02
    ## [1774,] 0.44409385 0.2114732637 3.356718e-02
    ## [1775,] 0.36014652 0.0776786613 5.584740e-03
    ## [1776,] 0.25969672 0.4403553087 2.488965e-01
    ## [1777,] 0.36252559 0.3866939680 1.374912e-01
    ## [1778,] 0.20448709 0.0179374643 5.244873e-04
    ## [1779,] 0.40743849 0.3355375785 9.210835e-02
    ## [1780,] 0.19539878 0.4422182874 3.336033e-01
    ## [1781,] 0.22759810 0.4443581954 2.891855e-01
    ## [1782,] 0.25969672 0.4403553087 2.488965e-01
    ## [1783,] 0.26654443 0.0339238361 1.439193e-03
    ## [1784,] 0.33553758 0.4074384881 1.649156e-01
    ## [1785,] 0.42415495 0.3063341278 7.374710e-02
    ## [1786,] 0.44308684 0.2436977611 4.467792e-02
    ## [1787,] 0.43081384 0.2910904300 6.556091e-02
    ## [1788,] 0.34934628 0.3975319727 1.507880e-01
    ## [1789,] 0.43623913 0.2755194522 5.800410e-02
    ## [1790,] 0.34037125 0.0654560102 4.195898e-03
    ## [1791,] 0.30633413 0.4241549461 1.957638e-01
    ## [1792,] 0.42616898 0.1482326877 1.718640e-02
    ## [1793,] 0.36252559 0.3866939680 1.374912e-01
    ## [1794,] 0.43865597 0.1794501695 2.447048e-02
    ## [1795,] 0.05403897 0.3182294988 6.246727e-01
    ## [1796,] 0.39289970 0.1042386963 9.218388e-03
    ## [1797,] 0.09063140 0.0030210466 3.356718e-05
    ## [1798,] 0.20448709 0.0179374643 5.244873e-04
    ## [1799,] 0.44035531 0.2596967205 5.105149e-02
    ## [1800,] 0.31822950 0.0540389715 3.058810e-03
    ## [1801,] 0.36014652 0.0776786613 5.584740e-03
    ## [1802,] 0.44035531 0.2596967205 5.105149e-02
    ## [1803,] 0.44035531 0.2596967205 5.105149e-02
    ## [1804,] 0.16938001 0.0116813803 2.685375e-04
    ## [1805,] 0.44435820 0.2275981001 3.885821e-02
    ## [1806,] 0.37500000 0.3750000000 1.250000e-01
    ## [1807,] 0.44409385 0.2114732637 3.356718e-02
    ## [1808,] 0.29109043 0.4308138364 2.125348e-01
    ## [1809,] 0.33553758 0.4074384881 1.649156e-01
    ## [1810,] 0.37763083 0.0906313987 7.250512e-03
    ## [1811,] 0.27551945 0.4362391326 2.302373e-01
    ## [1812,] 0.40743849 0.3355375785 9.210835e-02
    ## [1813,] 0.43081384 0.2910904300 6.556091e-02
    ## [1814,] 0.09063140 0.3776308281 5.244873e-01
    ## [1815,] 0.33553758 0.4074384881 1.649156e-01
    ## [1816,] 0.44435820 0.2275981001 3.885821e-02
    ## [1817,] 0.11842503 0.4060286664 4.640328e-01
    ## [1818,] 0.37763083 0.0906313987 7.250512e-03
    ## [1819,] 0.37763083 0.0906313987 7.250512e-03
    ## [1820,] 0.30633413 0.4241549461 1.957638e-01
    ## [1821,] 0.32117502 0.4163379880 1.798991e-01
    ## [1822,] 0.39289970 0.1042386963 9.218388e-03
    ## [1823,] 0.00000000 0.0000000000 0.000000e+00
    ## [1824,] 0.44435820 0.2275981001 3.885821e-02
    ## [1825,] 0.44308684 0.2436977611 4.467792e-02
    ## [1826,] 0.44221829 0.1953987782 2.877966e-02
    ## [1827,] 0.23685006 0.0253767916 9.063140e-04
    ## [1828,] 0.31822950 0.0540389715 3.058810e-03
    ## [1829,] 0.42415495 0.3063341278 7.374710e-02
    ## [1830,] 0.40743849 0.3355375785 9.210835e-02
    ## [1831,] 0.44308684 0.2436977611 4.467792e-02
    ## [1832,] 0.44435820 0.2275981001 3.885821e-02
    ## [1833,] 0.43623913 0.2755194522 5.800410e-02
    ## [1834,] 0.44221829 0.1953987782 2.877966e-02
    ## [1835,] 0.24369776 0.4430868383 2.685375e-01
    ## [1836,] 0.44308684 0.2436977611 4.467792e-02
    ## [1837,] 0.31822950 0.0540389715 3.058810e-03
    ## [1838,] 0.39289970 0.1042386963 9.218388e-03
    ## [1839,] 0.44409385 0.2114732637 3.356718e-02
    ## [1840,] 0.42616898 0.1482326877 1.718640e-02
    ## [1841,] 0.44035531 0.2596967205 5.105149e-02
    ## [1842,] 0.09063140 0.0030210466 3.356718e-05
    ## [1843,] 0.34037125 0.0654560102 4.195898e-03
    ## [1844,] 0.41709325 0.1331148669 1.416116e-02
    ## [1845,] 0.43081384 0.2910904300 6.556091e-02
    ## [1846,] 0.29109043 0.4308138364 2.125348e-01
    ## [1847,] 0.44221829 0.1953987782 2.877966e-02
    ## [1848,] 0.26654443 0.0339238361 1.439193e-03
    ## [1849,] 0.41633799 0.3211750193 8.258786e-02
    ## [1850,] 0.44308684 0.2436977611 4.467792e-02
    ## [1851,] 0.43081384 0.2910904300 6.556091e-02
    ## [1852,] 0.44409385 0.2114732637 3.356718e-02
    ## [1853,] 0.42415495 0.3063341278 7.374710e-02
    ## [1854,] 0.04683881 0.0007678494 4.195898e-06
    ## [1855,] 0.29364573 0.0435030714 2.148300e-03
    ## [1856,] 0.30633413 0.4241549461 1.957638e-01
    ## [1857,] 0.37500000 0.3750000000 1.250000e-01
    ## [1858,] 0.43333138 0.1637029640 2.061445e-02
    ## [1859,] 0.42616898 0.1482326877 1.718640e-02
    ## [1860,] 0.21147326 0.4440938538 3.108657e-01
    ## [1861,] 0.39289970 0.1042386963 9.218388e-03
    ## [1862,] 0.39753197 0.3493462791 1.023338e-01
    ## [1863,] 0.38669397 0.3625255950 1.132892e-01
    ## [1864,] 0.38669397 0.3625255950 1.132892e-01
    ## [1865,] 0.43333138 0.1637029640 2.061445e-02
    ## [1866,] 0.29109043 0.4308138364 2.125348e-01
    ## [1867,] 0.43333138 0.1637029640 2.061445e-02
    ## [1868,] 0.44221829 0.1953987782 2.877966e-02
    ## [1869,] 0.33553758 0.4074384881 1.649156e-01
    ## [1870,] 0.39753197 0.3493462791 1.023338e-01
    ## [1871,] 0.29364573 0.0435030714 2.148300e-03
    ## [1872,] 0.44035531 0.2596967205 5.105149e-02
    ## [1873,] 0.16938001 0.0116813803 2.685375e-04
    ## [1874,] 0.01168138 0.1693800141 8.186701e-01
    ## [1875,] 0.40743849 0.3355375785 9.210835e-02
    ## [1876,] 0.44435820 0.2275981001 3.885821e-02
    ## [1877,] 0.44435820 0.2275981001 3.885821e-02
    ## [1878,] 0.20448709 0.0179374643 5.244873e-04
    ## [1879,] 0.37500000 0.3750000000 1.250000e-01
    ## [1880,] 0.09063140 0.0030210466 3.356718e-05
    ## [1881,] 0.40743849 0.3355375785 9.210835e-02
    ## [1882,] 0.43081384 0.2910904300 6.556091e-02
    ## [1883,] 0.16370296 0.4333313752 3.823512e-01
    ## [1884,] 0.42415495 0.3063341278 7.374710e-02
    ## [1885,] 0.24369776 0.4430868383 2.685375e-01
    ## [1886,] 0.36252559 0.3866939680 1.374912e-01
    ## [1887,] 0.43333138 0.1637029640 2.061445e-02
    ## [1888,] 0.44409385 0.2114732637 3.356718e-02
    ## [1889,] 0.43865597 0.1794501695 2.447048e-02
    ## [1890,] 0.27551945 0.4362391326 2.302373e-01
    ## [1891,] 0.29364573 0.0435030714 2.148300e-03
    ## [1892,] 0.29364573 0.0435030714 2.148300e-03
    ## [1893,] 0.39753197 0.3493462791 1.023338e-01
    ## [1894,] 0.26654443 0.0339238361 1.439193e-03
    ## [1895,] 0.25969672 0.4403553087 2.488965e-01
    ## [1896,] 0.42415495 0.3063341278 7.374710e-02
    ## [1897,] 0.36014652 0.0776786613 5.584740e-03
    ## [1898,] 0.44221829 0.1953987782 2.877966e-02
    ## [1899,] 0.10423870 0.3928997013 4.936432e-01
    ## [1900,] 0.42616898 0.1482326877 1.718640e-02
    ## [1901,] 0.44409385 0.2114732637 3.356718e-02
    ## [1902,] 0.29109043 0.4308138364 2.125348e-01
    ## [1903,] 0.31822950 0.0540389715 3.058810e-03
    ## [1904,] 0.29109043 0.4308138364 2.125348e-01
    ## [1905,] 0.37500000 0.3750000000 1.250000e-01
    ## [1906,] 0.43623913 0.2755194522 5.800410e-02
    ## [1907,] 0.44435820 0.2275981001 3.885821e-02
    ## [1908,] 0.40602867 0.1184250277 1.151354e-02
    ## [1909,] 0.44435820 0.2275981001 3.885821e-02
    ## [1910,] 0.36252559 0.3866939680 1.374912e-01
    ## [1911,] 0.44308684 0.2436977611 4.467792e-02
    ## [1912,] 0.32117502 0.4163379880 1.798991e-01
    ## [1913,] 0.30633413 0.4241549461 1.957638e-01
    ## [1914,] 0.34934628 0.3975319727 1.507880e-01
    ## [1915,] 0.41709325 0.1331148669 1.416116e-02
    ## [1916,] 0.37763083 0.0906313987 7.250512e-03
    ## [1917,] 0.44308684 0.2436977611 4.467792e-02
    ## [1918,] 0.37500000 0.3750000000 1.250000e-01
    ## [1919,] 0.42415495 0.3063341278 7.374710e-02
    ## [1920,] 0.40602867 0.1184250277 1.151354e-02
    ## [1921,] 0.42616898 0.1482326877 1.718640e-02
    ## [1922,] 0.43865597 0.1794501695 2.447048e-02
    ## [1923,] 0.34934628 0.3975319727 1.507880e-01
    ## [1924,] 0.43623913 0.2755194522 5.800410e-02
    ## [1925,] 0.21147326 0.4440938538 3.108657e-01
    ## [1926,] 0.43865597 0.1794501695 2.447048e-02
    ## [1927,] 0.39753197 0.3493462791 1.023338e-01
    ## [1928,] 0.21147326 0.4440938538 3.108657e-01
    ## [1929,] 0.16938001 0.0116813803 2.685375e-04
    ## [1930,] 0.27551945 0.4362391326 2.302373e-01
    ## [1931,] 0.41633799 0.3211750193 8.258786e-02
    ## [1932,] 0.33553758 0.4074384881 1.649156e-01
    ## [1933,] 0.37763083 0.0906313987 7.250512e-03
    ## [1934,] 0.20448709 0.0179374643 5.244873e-04
    ## [1935,] 0.38669397 0.3625255950 1.132892e-01
    ## [1936,] 0.42415495 0.3063341278 7.374710e-02
    ## [1937,] 0.17945017 0.4386559699 3.574234e-01
    ## [1938,] 0.41709325 0.1331148669 1.416116e-02
    ## [1939,] 0.34934628 0.3975319727 1.507880e-01
    ## [1940,] 0.34934628 0.3975319727 1.507880e-01
    ## [1941,] 0.39753197 0.3493462791 1.023338e-01
    ## [1942,] 0.42616898 0.1482326877 1.718640e-02
    ## [1943,] 0.43081384 0.2910904300 6.556091e-02
    ## [1944,] 0.22759810 0.4443581954 2.891855e-01
    ## [1945,] 0.32117502 0.4163379880 1.798991e-01
    ## [1946,] 0.40602867 0.1184250277 1.151354e-02
    ## [1947,] 0.38669397 0.3625255950 1.132892e-01
    ## [1948,] 0.44221829 0.1953987782 2.877966e-02
    ## [1949,] 0.09063140 0.0030210466 3.356718e-05
    ## [1950,] 0.40602867 0.1184250277 1.151354e-02
    ## [1951,] 0.44308684 0.2436977611 4.467792e-02
    ## [1952,] 0.38669397 0.3625255950 1.132892e-01
    ## [1953,] 0.27551945 0.4362391326 2.302373e-01
    ## [1954,] 0.29109043 0.4308138364 2.125348e-01
    ## [1955,] 0.44409385 0.2114732637 3.356718e-02
    ## [1956,] 0.33553758 0.4074384881 1.649156e-01
    ## [1957,] 0.36014652 0.0776786613 5.584740e-03
    ## [1958,] 0.41633799 0.3211750193 8.258786e-02
    ## [1959,] 0.36252559 0.3866939680 1.374912e-01
    ## [1960,] 0.36252559 0.3866939680 1.374912e-01
    ## [1961,] 0.25969672 0.4403553087 2.488965e-01
    ## [1962,] 0.37763083 0.0906313987 7.250512e-03
    ## [1963,] 0.27551945 0.4362391326 2.302373e-01
    ## [1964,] 0.43081384 0.2910904300 6.556091e-02
    ## [1965,] 0.43081384 0.2910904300 6.556091e-02
    ## [1966,] 0.36252559 0.3866939680 1.374912e-01
    ## [1967,] 0.34934628 0.3975319727 1.507880e-01
    ## [1968,] 0.30633413 0.4241549461 1.957638e-01
    ## [1969,] 0.29109043 0.4308138364 2.125348e-01
    ## [1970,] 0.41633799 0.3211750193 8.258786e-02
    ## [1971,] 0.30633413 0.4241549461 1.957638e-01
    ## [1972,] 0.20448709 0.0179374643 5.244873e-04
    ## [1973,] 0.02537679 0.2368500554 7.368668e-01
    ## [1974,] 0.26654443 0.0339238361 1.439193e-03
    ## [1975,] 0.41633799 0.3211750193 8.258786e-02
    ## [1976,] 0.29109043 0.4308138364 2.125348e-01
    ## [1977,] 0.11842503 0.4060286664 4.640328e-01
    ## [1978,] 0.39753197 0.3493462791 1.023338e-01
    ## [1979,] 0.43865597 0.1794501695 2.447048e-02
    ## [1980,] 0.16370296 0.4333313752 3.823512e-01
    ## [1981,] 0.42415495 0.3063341278 7.374710e-02
    ## [1982,] 0.44221829 0.1953987782 2.877966e-02
    ## [1983,] 0.40602867 0.1184250277 1.151354e-02
    ## [1984,] 0.43081384 0.2910904300 6.556091e-02
    ## [1985,] 0.44221829 0.1953987782 2.877966e-02
    ## [1986,] 0.44435820 0.2275981001 3.885821e-02
    ## [1987,] 0.41633799 0.3211750193 8.258786e-02
    ## [1988,] 0.34934628 0.3975319727 1.507880e-01
    ## [1989,] 0.33553758 0.4074384881 1.649156e-01
    ## [1990,] 0.43081384 0.2910904300 6.556091e-02
    ## [1991,] 0.33553758 0.4074384881 1.649156e-01
    ## [1992,] 0.30633413 0.4241549461 1.957638e-01
    ## [1993,] 0.34037125 0.0654560102 4.195898e-03
    ## [1994,] 0.34037125 0.0654560102 4.195898e-03
    ## [1995,] 0.03392384 0.2665444262 6.980925e-01
    ## [1996,] 0.39289970 0.1042386963 9.218388e-03
    ## [1997,] 0.36014652 0.0776786613 5.584740e-03
    ## [1998,] 0.44308684 0.2436977611 4.467792e-02
    ## [1999,] 0.43623913 0.2755194522 5.800410e-02
    ## [2000,] 0.44308684 0.2436977611 4.467792e-02
    ## [2001,] 0.39753197 0.3493462791 1.023338e-01
    ## [2002,] 0.10423870 0.3928997013 4.936432e-01
    ## [2003,] 0.44308684 0.2436977611 4.467792e-02
    ## [2004,] 0.41709325 0.1331148669 1.416116e-02
    ## [2005,] 0.40602867 0.1184250277 1.151354e-02
    ## [2006,] 0.31822950 0.0540389715 3.058810e-03
    ## [2007,] 0.43865597 0.1794501695 2.447048e-02
    ## [2008,] 0.38669397 0.3625255950 1.132892e-01
    ## [2009,] 0.27551945 0.4362391326 2.302373e-01
    ## [2010,] 0.23685006 0.0253767916 9.063140e-04
    ## [2011,] 0.32117502 0.4163379880 1.798991e-01
    ## [2012,] 0.19539878 0.4422182874 3.336033e-01
    ## [2013,] 0.44409385 0.2114732637 3.356718e-02
    ## [2014,] 0.06545601 0.3403712531 5.899768e-01
    ## [2015,] 0.23685006 0.0253767916 9.063140e-04
    ## [2016,] 0.16938001 0.0116813803 2.685375e-04
    ## [2017,] 0.44409385 0.2114732637 3.356718e-02
    ## [2018,] 0.36014652 0.0776786613 5.584740e-03
    ## [2019,] 0.37763083 0.0906313987 7.250512e-03
    ## [2020,] 0.37500000 0.3750000000 1.250000e-01
    ## [2021,] 0.44308684 0.2436977611 4.467792e-02
    ## [2022,] 0.40602867 0.1184250277 1.151354e-02
    ## [2023,] 0.41709325 0.1331148669 1.416116e-02
    ## [2024,] 0.44308684 0.2436977611 4.467792e-02
    ## [2025,] 0.26654443 0.0339238361 1.439193e-03
    ## [2026,] 0.43865597 0.1794501695 2.447048e-02
    ## [2027,] 0.40743849 0.3355375785 9.210835e-02
    ## [2028,] 0.43623913 0.2755194522 5.800410e-02
    ## [2029,] 0.22759810 0.4443581954 2.891855e-01
    ## [2030,] 0.37763083 0.0906313987 7.250512e-03
    ## [2031,] 0.30633413 0.4241549461 1.957638e-01
    ## [2032,] 0.39289970 0.1042386963 9.218388e-03
    ## [2033,] 0.42616898 0.1482326877 1.718640e-02
    ## [2034,] 0.39753197 0.3493462791 1.023338e-01
    ## [2035,] 0.44308684 0.2436977611 4.467792e-02
    ## [2036,] 0.36014652 0.0776786613 5.584740e-03
    ## [2037,] 0.24369776 0.4430868383 2.685375e-01
    ## [2038,] 0.44035531 0.2596967205 5.105149e-02
    ## [2039,] 0.27551945 0.4362391326 2.302373e-01
    ## [2040,] 0.44221829 0.1953987782 2.877966e-02
    ## [2041,] 0.37763083 0.0906313987 7.250512e-03
    ## [2042,] 0.44308684 0.2436977611 4.467792e-02
    ## [2043,] 0.30633413 0.4241549461 1.957638e-01
    ## [2044,] 0.44221829 0.1953987782 2.877966e-02
    ## [2045,] 0.44435820 0.2275981001 3.885821e-02
    ## [2046,] 0.34934628 0.3975319727 1.507880e-01
    ## [2047,] 0.39753197 0.3493462791 1.023338e-01
    ## [2048,] 0.34037125 0.0654560102 4.195898e-03
    ## [2049,] 0.13311487 0.4170932496 4.356307e-01
    ## [2050,] 0.43623913 0.2755194522 5.800410e-02
    ## [2051,] 0.24369776 0.4430868383 2.685375e-01
    ## [2052,] 0.40602867 0.1184250277 1.151354e-02
    ## [2053,] 0.44435820 0.2275981001 3.885821e-02
    ## [2054,] 0.44409385 0.2114732637 3.356718e-02
    ## [2055,] 0.38669397 0.3625255950 1.132892e-01
    ## [2056,] 0.39753197 0.3493462791 1.023338e-01
    ## [2057,] 0.44308684 0.2436977611 4.467792e-02
    ## [2058,] 0.43623913 0.2755194522 5.800410e-02
    ## [2059,] 0.37763083 0.0906313987 7.250512e-03
    ## [2060,] 0.36014652 0.0776786613 5.584740e-03
    ## [2061,] 0.32117502 0.4163379880 1.798991e-01
    ## [2062,] 0.44221829 0.1953987782 2.877966e-02
    ## [2063,] 0.38669397 0.3625255950 1.132892e-01
    ## [2064,] 0.42415495 0.3063341278 7.374710e-02
    ## [2065,] 0.26654443 0.0339238361 1.439193e-03
    ## [2066,] 0.34934628 0.3975319727 1.507880e-01
    ## [2067,] 0.26654443 0.0339238361 1.439193e-03
    ## [2068,] 0.36252559 0.3866939680 1.374912e-01
    ## [2069,] 0.42616898 0.1482326877 1.718640e-02
    ## [2070,] 0.44308684 0.2436977611 4.467792e-02
    ## [2071,] 0.42616898 0.1482326877 1.718640e-02
    ## [2072,] 0.25969672 0.4403553087 2.488965e-01
    ## [2073,] 0.43623913 0.2755194522 5.800410e-02
    ## [2074,] 0.37763083 0.0906313987 7.250512e-03
    ## [2075,] 0.44221829 0.1953987782 2.877966e-02
    ## [2076,] 0.36252559 0.3866939680 1.374912e-01
    ## [2077,] 0.29364573 0.0435030714 2.148300e-03
    ## [2078,] 0.22759810 0.4443581954 2.891855e-01
    ## [2079,] 0.36014652 0.0776786613 5.584740e-03
    ## [2080,] 0.16938001 0.0116813803 2.685375e-04
    ## [2081,] 0.30633413 0.4241549461 1.957638e-01
    ## [2082,] 0.40743849 0.3355375785 9.210835e-02
    ## [2083,] 0.34934628 0.3975319727 1.507880e-01
    ## [2084,] 0.43333138 0.1637029640 2.061445e-02
    ## [2085,] 0.19539878 0.4422182874 3.336033e-01
    ## [2086,] 0.44308684 0.2436977611 4.467792e-02
    ## [2087,] 0.33553758 0.4074384881 1.649156e-01
    ## [2088,] 0.44308684 0.2436977611 4.467792e-02
    ## [2089,] 0.27551945 0.4362391326 2.302373e-01
    ## [2090,] 0.44435820 0.2275981001 3.885821e-02
    ## [2091,] 0.37763083 0.0906313987 7.250512e-03
    ## [2092,] 0.41709325 0.1331148669 1.416116e-02
    ## [2093,] 0.40602867 0.1184250277 1.151354e-02
    ## [2094,] 0.36252559 0.3866939680 1.374912e-01
    ## [2095,] 0.29364573 0.0435030714 2.148300e-03
    ## [2096,] 0.43333138 0.1637029640 2.061445e-02
    ## [2097,] 0.39289970 0.1042386963 9.218388e-03
    ## [2098,] 0.42415495 0.3063341278 7.374710e-02
    ## [2099,] 0.37763083 0.0906313987 7.250512e-03
    ## [2100,] 0.31822950 0.0540389715 3.058810e-03
    ## [2101,] 0.31822950 0.0540389715 3.058810e-03
    ## [2102,] 0.29109043 0.4308138364 2.125348e-01
    ## attr(,"degree")
    ## [1] 3
    ## attr(,"knots")
    ## numeric(0)
    ## attr(,"Boundary.knots")
    ## [1] 18 80
    ## attr(,"intercept")
    ## [1] FALSE
    ## attr(,"class")
    ## [1] "bs"     "basis"  "matrix"

    Fitting curves with splines

    lm1<-lm(wage~bsBasis,data=training)
    plot(training$age,training$wage,pch=19,cex=0.5)
    points(training$age,predict(lm1,newdata=training),col="red",pch=19,cex=0.5)

    #### splines on the test set. Note that we are using the same bsBasis as is created in the training dataset

    predict(bsBasis,age=testing$age)
    ##                  1            2            3
    ##    [1,] 0.00000000 0.0000000000 0.000000e+00
    ##    [2,] 0.23685006 0.0253767916 9.063140e-04
    ##    [3,] 0.41633799 0.3211750193 8.258786e-02
    ##    [4,] 0.43081384 0.2910904300 6.556091e-02
    ##    [5,] 0.36252559 0.3866939680 1.374912e-01
    ##    [6,] 0.30633413 0.4241549461 1.957638e-01
    ##    [7,] 0.41633799 0.3211750193 8.258786e-02
    ##    [8,] 0.42616898 0.1482326877 1.718640e-02
    ##    [9,] 0.43333138 0.1637029640 2.061445e-02
    ##   [10,] 0.44435820 0.2275981001 3.885821e-02
    ##   [11,] 0.30633413 0.4241549461 1.957638e-01
    ##   [12,] 0.34934628 0.3975319727 1.507880e-01
    ##   [13,] 0.44221829 0.1953987782 2.877966e-02
    ##   [14,] 0.36252559 0.3866939680 1.374912e-01
    ##   [15,] 0.44221829 0.1953987782 2.877966e-02
    ##   [16,] 0.44409385 0.2114732637 3.356718e-02
    ##   [17,] 0.44308684 0.2436977611 4.467792e-02
    ##   [18,] 0.01793746 0.2044870934 7.770510e-01
    ##   [19,] 0.44308684 0.2436977611 4.467792e-02
    ##   [20,] 0.42616898 0.1482326877 1.718640e-02
    ##   [21,] 0.00000000 0.0000000000 0.000000e+00
    ##   [22,] 0.41709325 0.1331148669 1.416116e-02
    ##   [23,] 0.42616898 0.1482326877 1.718640e-02
    ##   [24,] 0.43865597 0.1794501695 2.447048e-02
    ##   [25,] 0.27551945 0.4362391326 2.302373e-01
    ##   [26,] 0.06545601 0.3403712531 5.899768e-01
    ##   [27,] 0.40602867 0.1184250277 1.151354e-02
    ##   [28,] 0.31822950 0.0540389715 3.058810e-03
    ##   [29,] 0.34037125 0.0654560102 4.195898e-03
    ##   [30,] 0.31822950 0.0540389715 3.058810e-03
    ##   [31,] 0.36252559 0.3866939680 1.374912e-01
    ##   [32,] 0.44435820 0.2275981001 3.885821e-02
    ##   [33,] 0.33553758 0.4074384881 1.649156e-01
    ##   [34,] 0.43333138 0.1637029640 2.061445e-02
    ##   [35,] 0.25969672 0.4403553087 2.488965e-01
    ##   [36,] 0.26654443 0.0339238361 1.439193e-03
    ##   [37,] 0.41709325 0.1331148669 1.416116e-02
    ##   [38,] 0.25969672 0.4403553087 2.488965e-01
    ##   [39,] 0.20448709 0.0179374643 5.244873e-04
    ##   [40,] 0.22759810 0.4443581954 2.891855e-01
    ##   [41,] 0.42616898 0.1482326877 1.718640e-02
    ##   [42,] 0.44035531 0.2596967205 5.105149e-02
    ##   [43,] 0.38669397 0.3625255950 1.132892e-01
    ##   [44,] 0.37500000 0.3750000000 1.250000e-01
    ##   [45,] 0.43623913 0.2755194522 5.800410e-02
    ##   [46,] 0.44221829 0.1953987782 2.877966e-02
    ##   [47,] 0.29109043 0.4308138364 2.125348e-01
    ##   [48,] 0.13145329 0.0066840657 1.132892e-04
    ##   [49,] 0.24369776 0.4430868383 2.685375e-01
    ##   [50,] 0.39289970 0.1042386963 9.218388e-03
    ##   [51,] 0.40602867 0.1184250277 1.151354e-02
    ##   [52,] 0.44308684 0.2436977611 4.467792e-02
    ##   [53,] 0.42415495 0.3063341278 7.374710e-02
    ##   [54,] 0.20448709 0.0179374643 5.244873e-04
    ##   [55,] 0.16370296 0.4333313752 3.823512e-01
    ##   [56,] 0.42415495 0.3063341278 7.374710e-02
    ##   [57,] 0.39753197 0.3493462791 1.023338e-01
    ##   [58,] 0.19539878 0.4422182874 3.336033e-01
    ##   [59,] 0.29109043 0.4308138364 2.125348e-01
    ##   [60,] 0.26654443 0.0339238361 1.439193e-03
    ##   [61,] 0.42616898 0.1482326877 1.718640e-02
    ##   [62,] 0.32117502 0.4163379880 1.798991e-01
    ##   [63,] 0.32117502 0.4163379880 1.798991e-01
    ##   [64,] 0.06545601 0.3403712531 5.899768e-01
    ##   [65,] 0.39753197 0.3493462791 1.023338e-01
    ##   [66,] 0.41709325 0.1331148669 1.416116e-02
    ##   [67,] 0.02537679 0.2368500554 7.368668e-01
    ##   [68,] 0.44308684 0.2436977611 4.467792e-02
    ##   [69,] 0.41709325 0.1331148669 1.416116e-02
    ##   [70,] 0.44221829 0.1953987782 2.877966e-02
    ##   [71,] 0.42616898 0.1482326877 1.718640e-02
    ##   [72,] 0.36252559 0.3866939680 1.374912e-01
    ##   [73,] 0.40743849 0.3355375785 9.210835e-02
    ##   [74,] 0.44035531 0.2596967205 5.105149e-02
    ##   [75,] 0.16370296 0.4333313752 3.823512e-01
    ##   [76,] 0.43333138 0.1637029640 2.061445e-02
    ##   [77,] 0.36014652 0.0776786613 5.584740e-03
    ##   [78,] 0.44221829 0.1953987782 2.877966e-02
    ##   [79,] 0.43623913 0.2755194522 5.800410e-02
    ##   [80,] 0.37500000 0.3750000000 1.250000e-01
    ##   [81,] 0.43623913 0.2755194522 5.800410e-02
    ##   [82,] 0.43081384 0.2910904300 6.556091e-02
    ##   [83,] 0.44409385 0.2114732637 3.356718e-02
    ##   [84,] 0.22759810 0.4443581954 2.891855e-01
    ##   [85,] 0.25969672 0.4403553087 2.488965e-01
    ##   [86,] 0.19539878 0.4422182874 3.336033e-01
    ##   [87,] 0.37500000 0.3750000000 1.250000e-01
    ##   [88,] 0.33553758 0.4074384881 1.649156e-01
    ##   [89,] 0.43081384 0.2910904300 6.556091e-02
    ##   [90,] 0.13145329 0.0066840657 1.132892e-04
    ##   [91,] 0.19539878 0.4422182874 3.336033e-01
    ##   [92,] 0.40602867 0.1184250277 1.151354e-02
    ##   [93,] 0.43333138 0.1637029640 2.061445e-02
    ##   [94,] 0.29364573 0.0435030714 2.148300e-03
    ##   [95,] 0.40602867 0.1184250277 1.151354e-02
    ##   [96,] 0.44221829 0.1953987782 2.877966e-02
    ##   [97,] 0.16938001 0.0116813803 2.685375e-04
    ##   [98,] 0.34934628 0.3975319727 1.507880e-01
    ##   [99,] 0.42415495 0.3063341278 7.374710e-02
    ##  [100,] 0.43333138 0.1637029640 2.061445e-02
    ##  [101,] 0.44308684 0.2436977611 4.467792e-02
    ##  [102,] 0.43333138 0.1637029640 2.061445e-02
    ##  [103,] 0.43333138 0.1637029640 2.061445e-02
    ##  [104,] 0.43081384 0.2910904300 6.556091e-02
    ##  [105,] 0.21147326 0.4440938538 3.108657e-01
    ##  [106,] 0.44409385 0.2114732637 3.356718e-02
    ##  [107,] 0.32117502 0.4163379880 1.798991e-01
    ##  [108,] 0.25969672 0.4403553087 2.488965e-01
    ##  [109,] 0.14823269 0.4261689772 4.084119e-01
    ##  [110,] 0.43081384 0.2910904300 6.556091e-02
    ##  [111,] 0.43333138 0.1637029640 2.061445e-02
    ##  [112,] 0.30633413 0.4241549461 1.957638e-01
    ##  [113,] 0.24369776 0.4430868383 2.685375e-01
    ##  [114,] 0.40743849 0.3355375785 9.210835e-02
    ##  [115,] 0.29109043 0.4308138364 2.125348e-01
    ##  [116,] 0.34934628 0.3975319727 1.507880e-01
    ##  [117,] 0.42616898 0.1482326877 1.718640e-02
    ##  [118,] 0.44308684 0.2436977611 4.467792e-02
    ##  [119,] 0.36252559 0.3866939680 1.374912e-01
    ##  [120,] 0.33553758 0.4074384881 1.649156e-01
    ##  [121,] 0.36252559 0.3866939680 1.374912e-01
    ##  [122,] 0.31822950 0.0540389715 3.058810e-03
    ##  [123,] 0.44435820 0.2275981001 3.885821e-02
    ##  [124,] 0.44435820 0.2275981001 3.885821e-02
    ##  [125,] 0.39289970 0.1042386963 9.218388e-03
    ##  [126,] 0.37763083 0.0906313987 7.250512e-03
    ##  [127,] 0.31822950 0.0540389715 3.058810e-03
    ##  [128,] 0.44308684 0.2436977611 4.467792e-02
    ##  [129,] 0.29109043 0.4308138364 2.125348e-01
    ##  [130,] 0.38669397 0.3625255950 1.132892e-01
    ##  [131,] 0.36014652 0.0776786613 5.584740e-03
    ##  [132,] 0.44308684 0.2436977611 4.467792e-02
    ##  [133,] 0.42415495 0.3063341278 7.374710e-02
    ##  [134,] 0.37500000 0.3750000000 1.250000e-01
    ##  [135,] 0.41633799 0.3211750193 8.258786e-02
    ##  [136,] 0.36014652 0.0776786613 5.584740e-03
    ##  [137,] 0.44221829 0.1953987782 2.877966e-02
    ##  [138,] 0.40743849 0.3355375785 9.210835e-02
    ##  [139,] 0.44435820 0.2275981001 3.885821e-02
    ##  [140,] 0.36014652 0.0776786613 5.584740e-03
    ##  [141,] 0.44221829 0.1953987782 2.877966e-02
    ##  [142,] 0.17945017 0.4386559699 3.574234e-01
    ##  [143,] 0.44221829 0.1953987782 2.877966e-02
    ##  [144,] 0.43865597 0.1794501695 2.447048e-02
    ##  [145,] 0.20448709 0.0179374643 5.244873e-04
    ##  [146,] 0.40743849 0.3355375785 9.210835e-02
    ##  [147,] 0.29364573 0.0435030714 2.148300e-03
    ##  [148,] 0.30633413 0.4241549461 1.957638e-01
    ##  [149,] 0.17945017 0.4386559699 3.574234e-01
    ##  [150,] 0.32117502 0.4163379880 1.798991e-01
    ##  [151,] 0.38669397 0.3625255950 1.132892e-01
    ##  [152,] 0.20448709 0.0179374643 5.244873e-04
    ##  [153,] 0.29109043 0.4308138364 2.125348e-01
    ##  [154,] 0.22759810 0.4443581954 2.891855e-01
    ##  [155,] 0.37500000 0.3750000000 1.250000e-01
    ##  [156,] 0.41633799 0.3211750193 8.258786e-02
    ##  [157,] 0.39289970 0.1042386963 9.218388e-03
    ##  [158,] 0.42616898 0.1482326877 1.718640e-02
    ##  [159,] 0.29364573 0.0435030714 2.148300e-03
    ##  [160,] 0.16938001 0.0116813803 2.685375e-04
    ##  [161,] 0.44308684 0.2436977611 4.467792e-02
    ##  [162,] 0.44035531 0.2596967205 5.105149e-02
    ##  [163,] 0.43865597 0.1794501695 2.447048e-02
    ##  [164,] 0.38669397 0.3625255950 1.132892e-01
    ##  [165,] 0.39753197 0.3493462791 1.023338e-01
    ##  [166,] 0.39753197 0.3493462791 1.023338e-01
    ##  [167,] 0.43333138 0.1637029640 2.061445e-02
    ##  [168,] 0.37500000 0.3750000000 1.250000e-01
    ##  [169,] 0.44308684 0.2436977611 4.467792e-02
    ##  [170,] 0.25969672 0.4403553087 2.488965e-01
    ##  [171,] 0.27551945 0.4362391326 2.302373e-01
    ##  [172,] 0.03392384 0.2665444262 6.980925e-01
    ##  [173,] 0.37500000 0.3750000000 1.250000e-01
    ##  [174,] 0.37763083 0.0906313987 7.250512e-03
    ##  [175,] 0.43865597 0.1794501695 2.447048e-02
    ##  [176,] 0.44435820 0.2275981001 3.885821e-02
    ##  [177,] 0.38669397 0.3625255950 1.132892e-01
    ##  [178,] 0.41633799 0.3211750193 8.258786e-02
    ##  [179,] 0.36252559 0.3866939680 1.374912e-01
    ##  [180,] 0.43623913 0.2755194522 5.800410e-02
    ##  [181,] 0.38669397 0.3625255950 1.132892e-01
    ##  [182,] 0.41633799 0.3211750193 8.258786e-02
    ##  [183,] 0.31822950 0.0540389715 3.058810e-03
    ##  [184,] 0.40602867 0.1184250277 1.151354e-02
    ##  [185,] 0.40743849 0.3355375785 9.210835e-02
    ##  [186,] 0.33553758 0.4074384881 1.649156e-01
    ##  [187,] 0.16938001 0.0116813803 2.685375e-04
    ##  [188,] 0.32117502 0.4163379880 1.798991e-01
    ##  [189,] 0.44409385 0.2114732637 3.356718e-02
    ##  [190,] 0.43623913 0.2755194522 5.800410e-02
    ##  [191,] 0.26654443 0.0339238361 1.439193e-03
    ##  [192,] 0.36014652 0.0776786613 5.584740e-03
    ##  [193,] 0.34037125 0.0654560102 4.195898e-03
    ##  [194,] 0.40743849 0.3355375785 9.210835e-02
    ##  [195,] 0.29109043 0.4308138364 2.125348e-01
    ##  [196,] 0.27551945 0.4362391326 2.302373e-01
    ##  [197,] 0.44035531 0.2596967205 5.105149e-02
    ##  [198,] 0.39753197 0.3493462791 1.023338e-01
    ##  [199,] 0.33553758 0.4074384881 1.649156e-01
    ##  [200,] 0.41709325 0.1331148669 1.416116e-02
    ##  [201,] 0.24369776 0.4430868383 2.685375e-01
    ##  [202,] 0.33553758 0.4074384881 1.649156e-01
    ##  [203,] 0.41633799 0.3211750193 8.258786e-02
    ##  [204,] 0.16938001 0.0116813803 2.685375e-04
    ##  [205,] 0.26654443 0.0339238361 1.439193e-03
    ##  [206,] 0.44035531 0.2596967205 5.105149e-02
    ##  [207,] 0.30633413 0.4241549461 1.957638e-01
    ##  [208,] 0.20448709 0.0179374643 5.244873e-04
    ##  [209,] 0.43865597 0.1794501695 2.447048e-02
    ##  [210,] 0.39289970 0.1042386963 9.218388e-03
    ##  [211,] 0.33553758 0.4074384881 1.649156e-01
    ##  [212,] 0.40743849 0.3355375785 9.210835e-02
    ##  [213,] 0.41633799 0.3211750193 8.258786e-02
    ##  [214,] 0.44035531 0.2596967205 5.105149e-02
    ##  [215,] 0.26654443 0.0339238361 1.439193e-03
    ##  [216,] 0.23685006 0.0253767916 9.063140e-04
    ##  [217,] 0.34934628 0.3975319727 1.507880e-01
    ##  [218,] 0.44035531 0.2596967205 5.105149e-02
    ##  [219,] 0.43623913 0.2755194522 5.800410e-02
    ##  [220,] 0.37763083 0.0906313987 7.250512e-03
    ##  [221,] 0.29109043 0.4308138364 2.125348e-01
    ##  [222,] 0.20448709 0.0179374643 5.244873e-04
    ##  [223,] 0.21147326 0.4440938538 3.108657e-01
    ##  [224,] 0.00000000 0.0000000000 1.000000e+00
    ##  [225,] 0.44308684 0.2436977611 4.467792e-02
    ##  [226,] 0.43333138 0.1637029640 2.061445e-02
    ##  [227,] 0.29109043 0.4308138364 2.125348e-01
    ##  [228,] 0.23685006 0.0253767916 9.063140e-04
    ##  [229,] 0.44435820 0.2275981001 3.885821e-02
    ##  [230,] 0.37763083 0.0906313987 7.250512e-03
    ##  [231,] 0.09063140 0.3776308281 5.244873e-01
    ##  [232,] 0.30633413 0.4241549461 1.957638e-01
    ##  [233,] 0.31822950 0.0540389715 3.058810e-03
    ##  [234,] 0.42616898 0.1482326877 1.718640e-02
    ##  [235,] 0.22759810 0.4443581954 2.891855e-01
    ##  [236,] 0.37763083 0.0906313987 7.250512e-03
    ##  [237,] 0.44435820 0.2275981001 3.885821e-02
    ##  [238,] 0.43081384 0.2910904300 6.556091e-02
    ##  [239,] 0.37763083 0.0906313987 7.250512e-03
    ##  [240,] 0.25969672 0.4403553087 2.488965e-01
    ##  [241,] 0.32117502 0.4163379880 1.798991e-01
    ##  [242,] 0.43623913 0.2755194522 5.800410e-02
    ##  [243,] 0.20448709 0.0179374643 5.244873e-04
    ##  [244,] 0.43081384 0.2910904300 6.556091e-02
    ##  [245,] 0.27551945 0.4362391326 2.302373e-01
    ##  [246,] 0.44221829 0.1953987782 2.877966e-02
    ##  [247,] 0.44035531 0.2596967205 5.105149e-02
    ##  [248,] 0.41709325 0.1331148669 1.416116e-02
    ##  [249,] 0.32117502 0.4163379880 1.798991e-01
    ##  [250,] 0.44221829 0.1953987782 2.877966e-02
    ##  [251,] 0.09063140 0.0030210466 3.356718e-05
    ##  [252,] 0.29364573 0.0435030714 2.148300e-03
    ##  [253,] 0.25969672 0.4403553087 2.488965e-01
    ##  [254,] 0.39753197 0.3493462791 1.023338e-01
    ##  [255,] 0.44409385 0.2114732637 3.356718e-02
    ##  [256,] 0.41709325 0.1331148669 1.416116e-02
    ##  [257,] 0.38669397 0.3625255950 1.132892e-01
    ##  [258,] 0.41709325 0.1331148669 1.416116e-02
    ##  [259,] 0.33553758 0.4074384881 1.649156e-01
    ##  [260,] 0.37763083 0.0906313987 7.250512e-03
    ##  [261,] 0.42415495 0.3063341278 7.374710e-02
    ##  [262,] 0.44409385 0.2114732637 3.356718e-02
    ##  [263,] 0.34934628 0.3975319727 1.507880e-01
    ##  [264,] 0.39753197 0.3493462791 1.023338e-01
    ##  [265,] 0.34037125 0.0654560102 4.195898e-03
    ##  [266,] 0.31822950 0.0540389715 3.058810e-03
    ##  [267,] 0.41709325 0.1331148669 1.416116e-02
    ##  [268,] 0.31822950 0.0540389715 3.058810e-03
    ##  [269,] 0.44409385 0.2114732637 3.356718e-02
    ##  [270,] 0.44308684 0.2436977611 4.467792e-02
    ##  [271,] 0.40743849 0.3355375785 9.210835e-02
    ##  [272,] 0.32117502 0.4163379880 1.798991e-01
    ##  [273,] 0.43623913 0.2755194522 5.800410e-02
    ##  [274,] 0.44308684 0.2436977611 4.467792e-02
    ##  [275,] 0.43333138 0.1637029640 2.061445e-02
    ##  [276,] 0.36252559 0.3866939680 1.374912e-01
    ##  [277,] 0.42616898 0.1482326877 1.718640e-02
    ##  [278,] 0.38669397 0.3625255950 1.132892e-01
    ##  [279,] 0.44035531 0.2596967205 5.105149e-02
    ##  [280,] 0.24369776 0.4430868383 2.685375e-01
    ##  [281,] 0.34037125 0.0654560102 4.195898e-03
    ##  [282,] 0.41709325 0.1331148669 1.416116e-02
    ##  [283,] 0.36252559 0.3866939680 1.374912e-01
    ##  [284,] 0.38669397 0.3625255950 1.132892e-01
    ##  [285,] 0.37500000 0.3750000000 1.250000e-01
    ##  [286,] 0.42415495 0.3063341278 7.374710e-02
    ##  [287,] 0.36252559 0.3866939680 1.374912e-01
    ##  [288,] 0.24369776 0.4430868383 2.685375e-01
    ##  [289,] 0.41633799 0.3211750193 8.258786e-02
    ##  [290,] 0.42415495 0.3063341278 7.374710e-02
    ##  [291,] 0.43333138 0.1637029640 2.061445e-02
    ##  [292,] 0.41633799 0.3211750193 8.258786e-02
    ##  [293,] 0.34934628 0.3975319727 1.507880e-01
    ##  [294,] 0.19539878 0.4422182874 3.336033e-01
    ##  [295,] 0.41633799 0.3211750193 8.258786e-02
    ##  [296,] 0.42616898 0.1482326877 1.718640e-02
    ##  [297,] 0.41709325 0.1331148669 1.416116e-02
    ##  [298,] 0.41633799 0.3211750193 8.258786e-02
    ##  [299,] 0.36252559 0.3866939680 1.374912e-01
    ##  [300,] 0.44435820 0.2275981001 3.885821e-02
    ##  [301,] 0.37500000 0.3750000000 1.250000e-01
    ##  [302,] 0.39289970 0.1042386963 9.218388e-03
    ##  [303,] 0.37500000 0.3750000000 1.250000e-01
    ##  [304,] 0.34934628 0.3975319727 1.507880e-01
    ##  [305,] 0.43623913 0.2755194522 5.800410e-02
    ##  [306,] 0.37763083 0.0906313987 7.250512e-03
    ##  [307,] 0.41709325 0.1331148669 1.416116e-02
    ##  [308,] 0.36252559 0.3866939680 1.374912e-01
    ##  [309,] 0.38669397 0.3625255950 1.132892e-01
    ##  [310,] 0.39753197 0.3493462791 1.023338e-01
    ##  [311,] 0.41633799 0.3211750193 8.258786e-02
    ##  [312,] 0.37500000 0.3750000000 1.250000e-01
    ##  [313,] 0.40743849 0.3355375785 9.210835e-02
    ##  [314,] 0.44221829 0.1953987782 2.877966e-02
    ##  [315,] 0.20448709 0.0179374643 5.244873e-04
    ##  [316,] 0.42616898 0.1482326877 1.718640e-02
    ##  [317,] 0.42415495 0.3063341278 7.374710e-02
    ##  [318,] 0.19539878 0.4422182874 3.336033e-01
    ##  [319,] 0.44308684 0.2436977611 4.467792e-02
    ##  [320,] 0.44221829 0.1953987782 2.877966e-02
    ##  [321,] 0.41709325 0.1331148669 1.416116e-02
    ##  [322,] 0.44035531 0.2596967205 5.105149e-02
    ##  [323,] 0.37763083 0.0906313987 7.250512e-03
    ##  [324,] 0.34934628 0.3975319727 1.507880e-01
    ##  [325,] 0.44435820 0.2275981001 3.885821e-02
    ##  [326,] 0.27551945 0.4362391326 2.302373e-01
    ##  [327,] 0.42415495 0.3063341278 7.374710e-02
    ##  [328,] 0.34934628 0.3975319727 1.507880e-01
    ##  [329,] 0.43333138 0.1637029640 2.061445e-02
    ##  [330,] 0.39753197 0.3493462791 1.023338e-01
    ##  [331,] 0.34934628 0.3975319727 1.507880e-01
    ##  [332,] 0.16370296 0.4333313752 3.823512e-01
    ##  [333,] 0.19539878 0.4422182874 3.336033e-01
    ##  [334,] 0.41709325 0.1331148669 1.416116e-02
    ##  [335,] 0.43333138 0.1637029640 2.061445e-02
    ##  [336,] 0.36252559 0.3866939680 1.374912e-01
    ##  [337,] 0.44035531 0.2596967205 5.105149e-02
    ##  [338,] 0.20448709 0.0179374643 5.244873e-04
    ##  [339,] 0.41633799 0.3211750193 8.258786e-02
    ##  [340,] 0.22759810 0.4443581954 2.891855e-01
    ##  [341,] 0.41633799 0.3211750193 8.258786e-02
    ##  [342,] 0.43623913 0.2755194522 5.800410e-02
    ##  [343,] 0.25969672 0.4403553087 2.488965e-01
    ##  [344,] 0.33553758 0.4074384881 1.649156e-01
    ##  [345,] 0.30633413 0.4241549461 1.957638e-01
    ##  [346,] 0.37763083 0.0906313987 7.250512e-03
    ##  [347,] 0.39753197 0.3493462791 1.023338e-01
    ##  [348,] 0.44409385 0.2114732637 3.356718e-02
    ##  [349,] 0.39753197 0.3493462791 1.023338e-01
    ##  [350,] 0.44435820 0.2275981001 3.885821e-02
    ##  [351,] 0.39753197 0.3493462791 1.023338e-01
    ##  [352,] 0.41633799 0.3211750193 8.258786e-02
    ##  [353,] 0.43623913 0.2755194522 5.800410e-02
    ##  [354,] 0.00000000 0.0000000000 0.000000e+00
    ##  [355,] 0.27551945 0.4362391326 2.302373e-01
    ##  [356,] 0.36252559 0.3866939680 1.374912e-01
    ##  [357,] 0.36252559 0.3866939680 1.374912e-01
    ##  [358,] 0.32117502 0.4163379880 1.798991e-01
    ##  [359,] 0.27551945 0.4362391326 2.302373e-01
    ##  [360,] 0.27551945 0.4362391326 2.302373e-01
    ##  [361,] 0.36252559 0.3866939680 1.374912e-01
    ##  [362,] 0.32117502 0.4163379880 1.798991e-01
    ##  [363,] 0.34037125 0.0654560102 4.195898e-03
    ##  [364,] 0.41633799 0.3211750193 8.258786e-02
    ##  [365,] 0.23685006 0.0253767916 9.063140e-04
    ##  [366,] 0.44409385 0.2114732637 3.356718e-02
    ##  [367,] 0.39753197 0.3493462791 1.023338e-01
    ##  [368,] 0.44409385 0.2114732637 3.356718e-02
    ##  [369,] 0.44435820 0.2275981001 3.885821e-02
    ##  [370,] 0.33553758 0.4074384881 1.649156e-01
    ##  [371,] 0.40743849 0.3355375785 9.210835e-02
    ##  [372,] 0.43623913 0.2755194522 5.800410e-02
    ##  [373,] 0.19539878 0.4422182874 3.336033e-01
    ##  [374,] 0.43623913 0.2755194522 5.800410e-02
    ##  [375,] 0.19539878 0.4422182874 3.336033e-01
    ##  [376,] 0.31822950 0.0540389715 3.058810e-03
    ##  [377,] 0.41633799 0.3211750193 8.258786e-02
    ##  [378,] 0.24369776 0.4430868383 2.685375e-01
    ##  [379,] 0.26654443 0.0339238361 1.439193e-03
    ##  [380,] 0.34934628 0.3975319727 1.507880e-01
    ##  [381,] 0.36252559 0.3866939680 1.374912e-01
    ##  [382,] 0.14823269 0.4261689772 4.084119e-01
    ##  [383,] 0.30633413 0.4241549461 1.957638e-01
    ##  [384,] 0.43623913 0.2755194522 5.800410e-02
    ##  [385,] 0.39289970 0.1042386963 9.218388e-03
    ##  [386,] 0.26654443 0.0339238361 1.439193e-03
    ##  [387,] 0.40602867 0.1184250277 1.151354e-02
    ##  [388,] 0.34037125 0.0654560102 4.195898e-03
    ##  [389,] 0.40602867 0.1184250277 1.151354e-02
    ##  [390,] 0.32117502 0.4163379880 1.798991e-01
    ##  [391,] 0.43865597 0.1794501695 2.447048e-02
    ##  [392,] 0.43081384 0.2910904300 6.556091e-02
    ##  [393,] 0.34934628 0.3975319727 1.507880e-01
    ##  [394,] 0.43333138 0.1637029640 2.061445e-02
    ##  [395,] 0.43081384 0.2910904300 6.556091e-02
    ##  [396,] 0.44435820 0.2275981001 3.885821e-02
    ##  [397,] 0.22759810 0.4443581954 2.891855e-01
    ##  [398,] 0.41709325 0.1331148669 1.416116e-02
    ##  [399,] 0.20448709 0.0179374643 5.244873e-04
    ##  [400,] 0.44221829 0.1953987782 2.877966e-02
    ##  [401,] 0.44308684 0.2436977611 4.467792e-02
    ##  [402,] 0.26654443 0.0339238361 1.439193e-03
    ##  [403,] 0.33553758 0.4074384881 1.649156e-01
    ##  [404,] 0.20448709 0.0179374643 5.244873e-04
    ##  [405,] 0.41709325 0.1331148669 1.416116e-02
    ##  [406,] 0.44221829 0.1953987782 2.877966e-02
    ##  [407,] 0.42616898 0.1482326877 1.718640e-02
    ##  [408,] 0.34934628 0.3975319727 1.507880e-01
    ##  [409,] 0.44308684 0.2436977611 4.467792e-02
    ##  [410,] 0.36252559 0.3866939680 1.374912e-01
    ##  [411,] 0.30633413 0.4241549461 1.957638e-01
    ##  [412,] 0.36252559 0.3866939680 1.374912e-01
    ##  [413,] 0.40602867 0.1184250277 1.151354e-02
    ##  [414,] 0.44221829 0.1953987782 2.877966e-02
    ##  [415,] 0.04683881 0.0007678494 4.195898e-06
    ##  [416,] 0.40602867 0.1184250277 1.151354e-02
    ##  [417,] 0.43623913 0.2755194522 5.800410e-02
    ##  [418,] 0.29364573 0.0435030714 2.148300e-03
    ##  [419,] 0.40743849 0.3355375785 9.210835e-02
    ##  [420,] 0.00000000 0.0000000000 0.000000e+00
    ##  [421,] 0.43081384 0.2910904300 6.556091e-02
    ##  [422,] 0.17945017 0.4386559699 3.574234e-01
    ##  [423,] 0.42415495 0.3063341278 7.374710e-02
    ##  [424,] 0.44308684 0.2436977611 4.467792e-02
    ##  [425,] 0.43081384 0.2910904300 6.556091e-02
    ##  [426,] 0.38669397 0.3625255950 1.132892e-01
    ##  [427,] 0.43333138 0.1637029640 2.061445e-02
    ##  [428,] 0.19539878 0.4422182874 3.336033e-01
    ##  [429,] 0.34037125 0.0654560102 4.195898e-03
    ##  [430,] 0.16938001 0.0116813803 2.685375e-04
    ##  [431,] 0.43623913 0.2755194522 5.800410e-02
    ##  [432,] 0.36014652 0.0776786613 5.584740e-03
    ##  [433,] 0.39289970 0.1042386963 9.218388e-03
    ##  [434,] 0.22759810 0.4443581954 2.891855e-01
    ##  [435,] 0.40602867 0.1184250277 1.151354e-02
    ##  [436,] 0.40602867 0.1184250277 1.151354e-02
    ##  [437,] 0.26654443 0.0339238361 1.439193e-03
    ##  [438,] 0.25969672 0.4403553087 2.488965e-01
    ##  [439,] 0.37500000 0.3750000000 1.250000e-01
    ##  [440,] 0.44035531 0.2596967205 5.105149e-02
    ##  [441,] 0.44409385 0.2114732637 3.356718e-02
    ##  [442,] 0.24369776 0.4430868383 2.685375e-01
    ##  [443,] 0.44435820 0.2275981001 3.885821e-02
    ##  [444,] 0.27551945 0.4362391326 2.302373e-01
    ##  [445,] 0.42415495 0.3063341278 7.374710e-02
    ##  [446,] 0.44035531 0.2596967205 5.105149e-02
    ##  [447,] 0.36014652 0.0776786613 5.584740e-03
    ##  [448,] 0.43623913 0.2755194522 5.800410e-02
    ##  [449,] 0.34934628 0.3975319727 1.507880e-01
    ##  [450,] 0.44435820 0.2275981001 3.885821e-02
    ##  [451,] 0.39289970 0.1042386963 9.218388e-03
    ##  [452,] 0.04683881 0.0007678494 4.195898e-06
    ##  [453,] 0.43623913 0.2755194522 5.800410e-02
    ##  [454,] 0.44409385 0.2114732637 3.356718e-02
    ##  [455,] 0.29364573 0.0435030714 2.148300e-03
    ##  [456,] 0.44409385 0.2114732637 3.356718e-02
    ##  [457,] 0.42415495 0.3063341278 7.374710e-02
    ##  [458,] 0.33553758 0.4074384881 1.649156e-01
    ##  [459,] 0.13311487 0.4170932496 4.356307e-01
    ##  [460,] 0.34037125 0.0654560102 4.195898e-03
    ##  [461,] 0.32117502 0.4163379880 1.798991e-01
    ##  [462,] 0.33553758 0.4074384881 1.649156e-01
    ##  [463,] 0.31822950 0.0540389715 3.058810e-03
    ##  [464,] 0.40602867 0.1184250277 1.151354e-02
    ##  [465,] 0.34934628 0.3975319727 1.507880e-01
    ##  [466,] 0.43081384 0.2910904300 6.556091e-02
    ##  [467,] 0.36252559 0.3866939680 1.374912e-01
    ##  [468,] 0.32117502 0.4163379880 1.798991e-01
    ##  [469,] 0.30633413 0.4241549461 1.957638e-01
    ##  [470,] 0.23685006 0.0253767916 9.063140e-04
    ##  [471,] 0.37763083 0.0906313987 7.250512e-03
    ##  [472,] 0.41633799 0.3211750193 8.258786e-02
    ##  [473,] 0.29109043 0.4308138364 2.125348e-01
    ##  [474,] 0.44035531 0.2596967205 5.105149e-02
    ##  [475,] 0.42415495 0.3063341278 7.374710e-02
    ##  [476,] 0.33553758 0.4074384881 1.649156e-01
    ##  [477,] 0.29109043 0.4308138364 2.125348e-01
    ##  [478,] 0.31822950 0.0540389715 3.058810e-03
    ##  [479,] 0.40743849 0.3355375785 9.210835e-02
    ##  [480,] 0.43081384 0.2910904300 6.556091e-02
    ##  [481,] 0.38669397 0.3625255950 1.132892e-01
    ##  [482,] 0.41709325 0.1331148669 1.416116e-02
    ##  [483,] 0.36252559 0.3866939680 1.374912e-01
    ##  [484,] 0.23685006 0.0253767916 9.063140e-04
    ##  [485,] 0.43623913 0.2755194522 5.800410e-02
    ##  [486,] 0.32117502 0.4163379880 1.798991e-01
    ##  [487,] 0.37500000 0.3750000000 1.250000e-01
    ##  [488,] 0.40743849 0.3355375785 9.210835e-02
    ##  [489,] 0.44308684 0.2436977611 4.467792e-02
    ##  [490,] 0.44035531 0.2596967205 5.105149e-02
    ##  [491,] 0.43865597 0.1794501695 2.447048e-02
    ##  [492,] 0.42616898 0.1482326877 1.718640e-02
    ##  [493,] 0.23685006 0.0253767916 9.063140e-04
    ##  [494,] 0.41709325 0.1331148669 1.416116e-02
    ##  [495,] 0.38669397 0.3625255950 1.132892e-01
    ##  [496,] 0.26654443 0.0339238361 1.439193e-03
    ##  [497,] 0.31822950 0.0540389715 3.058810e-03
    ##  [498,] 0.24369776 0.4430868383 2.685375e-01
    ##  [499,] 0.33553758 0.4074384881 1.649156e-01
    ##  [500,] 0.21147326 0.4440938538 3.108657e-01
    ##  [501,] 0.44435820 0.2275981001 3.885821e-02
    ##  [502,] 0.34934628 0.3975319727 1.507880e-01
    ##  [503,] 0.39289970 0.1042386963 9.218388e-03
    ##  [504,] 0.44308684 0.2436977611 4.467792e-02
    ##  [505,] 0.40743849 0.3355375785 9.210835e-02
    ##  [506,] 0.33553758 0.4074384881 1.649156e-01
    ##  [507,] 0.44308684 0.2436977611 4.467792e-02
    ##  [508,] 0.29364573 0.0435030714 2.148300e-03
    ##  [509,] 0.44409385 0.2114732637 3.356718e-02
    ##  [510,] 0.16370296 0.4333313752 3.823512e-01
    ##  [511,] 0.43333138 0.1637029640 2.061445e-02
    ##  [512,] 0.36014652 0.0776786613 5.584740e-03
    ##  [513,] 0.36014652 0.0776786613 5.584740e-03
    ##  [514,] 0.17945017 0.4386559699 3.574234e-01
    ##  [515,] 0.27551945 0.4362391326 2.302373e-01
    ##  [516,] 0.24369776 0.4430868383 2.685375e-01
    ##  [517,] 0.44435820 0.2275981001 3.885821e-02
    ##  [518,] 0.37500000 0.3750000000 1.250000e-01
    ##  [519,] 0.23685006 0.0253767916 9.063140e-04
    ##  [520,] 0.19539878 0.4422182874 3.336033e-01
    ##  [521,] 0.24369776 0.4430868383 2.685375e-01
    ##  [522,] 0.39753197 0.3493462791 1.023338e-01
    ##  [523,] 0.39753197 0.3493462791 1.023338e-01
    ##  [524,] 0.44409385 0.2114732637 3.356718e-02
    ##  [525,] 0.39289970 0.1042386963 9.218388e-03
    ##  [526,] 0.27551945 0.4362391326 2.302373e-01
    ##  [527,] 0.42415495 0.3063341278 7.374710e-02
    ##  [528,] 0.43865597 0.1794501695 2.447048e-02
    ##  [529,] 0.29109043 0.4308138364 2.125348e-01
    ##  [530,] 0.38669397 0.3625255950 1.132892e-01
    ##  [531,] 0.36252559 0.3866939680 1.374912e-01
    ##  [532,] 0.43623913 0.2755194522 5.800410e-02
    ##  [533,] 0.26654443 0.0339238361 1.439193e-03
    ##  [534,] 0.29109043 0.4308138364 2.125348e-01
    ##  [535,] 0.34037125 0.0654560102 4.195898e-03
    ##  [536,] 0.37763083 0.0906313987 7.250512e-03
    ##  [537,] 0.40743849 0.3355375785 9.210835e-02
    ##  [538,] 0.38669397 0.3625255950 1.132892e-01
    ##  [539,] 0.20448709 0.0179374643 5.244873e-04
    ##  [540,] 0.42616898 0.1482326877 1.718640e-02
    ##  [541,] 0.41709325 0.1331148669 1.416116e-02
    ##  [542,] 0.24369776 0.4430868383 2.685375e-01
    ##  [543,] 0.39753197 0.3493462791 1.023338e-01
    ##  [544,] 0.23685006 0.0253767916 9.063140e-04
    ##  [545,] 0.27551945 0.4362391326 2.302373e-01
    ##  [546,] 0.20448709 0.0179374643 5.244873e-04
    ##  [547,] 0.41633799 0.3211750193 8.258786e-02
    ##  [548,] 0.24369776 0.4430868383 2.685375e-01
    ##  [549,] 0.37763083 0.0906313987 7.250512e-03
    ##  [550,] 0.40743849 0.3355375785 9.210835e-02
    ##  [551,] 0.38669397 0.3625255950 1.132892e-01
    ##  [552,] 0.36252559 0.3866939680 1.374912e-01
    ##  [553,] 0.44221829 0.1953987782 2.877966e-02
    ##  [554,] 0.37500000 0.3750000000 1.250000e-01
    ##  [555,] 0.30633413 0.4241549461 1.957638e-01
    ##  [556,] 0.33553758 0.4074384881 1.649156e-01
    ##  [557,] 0.37763083 0.0906313987 7.250512e-03
    ##  [558,] 0.42616898 0.1482326877 1.718640e-02
    ##  [559,] 0.44409385 0.2114732637 3.356718e-02
    ##  [560,] 0.44435820 0.2275981001 3.885821e-02
    ##  [561,] 0.33553758 0.4074384881 1.649156e-01
    ##  [562,] 0.24369776 0.4430868383 2.685375e-01
    ##  [563,] 0.44409385 0.2114732637 3.356718e-02
    ##  [564,] 0.16370296 0.4333313752 3.823512e-01
    ##  [565,] 0.39289970 0.1042386963 9.218388e-03
    ##  [566,] 0.32117502 0.4163379880 1.798991e-01
    ##  [567,] 0.13145329 0.0066840657 1.132892e-04
    ##  [568,] 0.34037125 0.0654560102 4.195898e-03
    ##  [569,] 0.41709325 0.1331148669 1.416116e-02
    ##  [570,] 0.40602867 0.1184250277 1.151354e-02
    ##  [571,] 0.34037125 0.0654560102 4.195898e-03
    ##  [572,] 0.43623913 0.2755194522 5.800410e-02
    ##  [573,] 0.43865597 0.1794501695 2.447048e-02
    ##  [574,] 0.32117502 0.4163379880 1.798991e-01
    ##  [575,] 0.43865597 0.1794501695 2.447048e-02
    ##  [576,] 0.29109043 0.4308138364 2.125348e-01
    ##  [577,] 0.13311487 0.4170932496 4.356307e-01
    ##  [578,] 0.44221829 0.1953987782 2.877966e-02
    ##  [579,] 0.04683881 0.0007678494 4.195898e-06
    ##  [580,] 0.36252559 0.3866939680 1.374912e-01
    ##  [581,] 0.16938001 0.0116813803 2.685375e-04
    ##  [582,] 0.44308684 0.2436977611 4.467792e-02
    ##  [583,] 0.44221829 0.1953987782 2.877966e-02
    ##  [584,] 0.11842503 0.4060286664 4.640328e-01
    ##  [585,] 0.43333138 0.1637029640 2.061445e-02
    ##  [586,] 0.41709325 0.1331148669 1.416116e-02
    ##  [587,] 0.42415495 0.3063341278 7.374710e-02
    ##  [588,] 0.38669397 0.3625255950 1.132892e-01
    ##  [589,] 0.39753197 0.3493462791 1.023338e-01
    ##  [590,] 0.44035531 0.2596967205 5.105149e-02
    ##  [591,] 0.02537679 0.2368500554 7.368668e-01
    ##  [592,] 0.41709325 0.1331148669 1.416116e-02
    ##  [593,] 0.17945017 0.4386559699 3.574234e-01
    ##  [594,] 0.27551945 0.4362391326 2.302373e-01
    ##  [595,] 0.36014652 0.0776786613 5.584740e-03
    ##  [596,] 0.27551945 0.4362391326 2.302373e-01
    ##  [597,] 0.39753197 0.3493462791 1.023338e-01
    ##  [598,] 0.41633799 0.3211750193 8.258786e-02
    ##  [599,] 0.42415495 0.3063341278 7.374710e-02
    ##  [600,] 0.44308684 0.2436977611 4.467792e-02
    ##  [601,] 0.27551945 0.4362391326 2.302373e-01
    ##  [602,] 0.27551945 0.4362391326 2.302373e-01
    ##  [603,] 0.39753197 0.3493462791 1.023338e-01
    ##  [604,] 0.44435820 0.2275981001 3.885821e-02
    ##  [605,] 0.44409385 0.2114732637 3.356718e-02
    ##  [606,] 0.38669397 0.3625255950 1.132892e-01
    ##  [607,] 0.42415495 0.3063341278 7.374710e-02
    ##  [608,] 0.43623913 0.2755194522 5.800410e-02
    ##  [609,] 0.29109043 0.4308138364 2.125348e-01
    ##  [610,] 0.44435820 0.2275981001 3.885821e-02
    ##  [611,] 0.37763083 0.0906313987 7.250512e-03
    ##  [612,] 0.41709325 0.1331148669 1.416116e-02
    ##  [613,] 0.39289970 0.1042386963 9.218388e-03
    ##  [614,] 0.43333138 0.1637029640 2.061445e-02
    ##  [615,] 0.29109043 0.4308138364 2.125348e-01
    ##  [616,] 0.43865597 0.1794501695 2.447048e-02
    ##  [617,] 0.44221829 0.1953987782 2.877966e-02
    ##  [618,] 0.41709325 0.1331148669 1.416116e-02
    ##  [619,] 0.39753197 0.3493462791 1.023338e-01
    ##  [620,] 0.34037125 0.0654560102 4.195898e-03
    ##  [621,] 0.36014652 0.0776786613 5.584740e-03
    ##  [622,] 0.44308684 0.2436977611 4.467792e-02
    ##  [623,] 0.41709325 0.1331148669 1.416116e-02
    ##  [624,] 0.44308684 0.2436977611 4.467792e-02
    ##  [625,] 0.44435820 0.2275981001 3.885821e-02
    ##  [626,] 0.42415495 0.3063341278 7.374710e-02
    ##  [627,] 0.43081384 0.2910904300 6.556091e-02
    ##  [628,] 0.42415495 0.3063341278 7.374710e-02
    ##  [629,] 0.36014652 0.0776786613 5.584740e-03
    ##  [630,] 0.37500000 0.3750000000 1.250000e-01
    ##  [631,] 0.39753197 0.3493462791 1.023338e-01
    ##  [632,] 0.40743849 0.3355375785 9.210835e-02
    ##  [633,] 0.44035531 0.2596967205 5.105149e-02
    ##  [634,] 0.33553758 0.4074384881 1.649156e-01
    ##  [635,] 0.43081384 0.2910904300 6.556091e-02
    ##  [636,] 0.27551945 0.4362391326 2.302373e-01
    ##  [637,] 0.36014652 0.0776786613 5.584740e-03
    ##  [638,] 0.41633799 0.3211750193 8.258786e-02
    ##  [639,] 0.36014652 0.0776786613 5.584740e-03
    ##  [640,] 0.09063140 0.3776308281 5.244873e-01
    ##  [641,] 0.39753197 0.3493462791 1.023338e-01
    ##  [642,] 0.37763083 0.0906313987 7.250512e-03
    ##  [643,] 0.37500000 0.3750000000 1.250000e-01
    ##  [644,] 0.43865597 0.1794501695 2.447048e-02
    ##  [645,] 0.42415495 0.3063341278 7.374710e-02
    ##  [646,] 0.43623913 0.2755194522 5.800410e-02
    ##  [647,] 0.44435820 0.2275981001 3.885821e-02
    ##  [648,] 0.37763083 0.0906313987 7.250512e-03
    ##  [649,] 0.34037125 0.0654560102 4.195898e-03
    ##  [650,] 0.37763083 0.0906313987 7.250512e-03
    ##  [651,] 0.26654443 0.0339238361 1.439193e-03
    ##  [652,] 0.33553758 0.4074384881 1.649156e-01
    ##  [653,] 0.29364573 0.0435030714 2.148300e-03
    ##  [654,] 0.30633413 0.4241549461 1.957638e-01
    ##  [655,] 0.25969672 0.4403553087 2.488965e-01
    ##  [656,] 0.40602867 0.1184250277 1.151354e-02
    ##  [657,] 0.21147326 0.4440938538 3.108657e-01
    ##  [658,] 0.37500000 0.3750000000 1.250000e-01
    ##  [659,] 0.38669397 0.3625255950 1.132892e-01
    ##  [660,] 0.24369776 0.4430868383 2.685375e-01
    ##  [661,] 0.37763083 0.0906313987 7.250512e-03
    ##  [662,] 0.31822950 0.0540389715 3.058810e-03
    ##  [663,] 0.29109043 0.4308138364 2.125348e-01
    ##  [664,] 0.36252559 0.3866939680 1.374912e-01
    ##  [665,] 0.44308684 0.2436977611 4.467792e-02
    ##  [666,] 0.31822950 0.0540389715 3.058810e-03
    ##  [667,] 0.37500000 0.3750000000 1.250000e-01
    ##  [668,] 0.36252559 0.3866939680 1.374912e-01
    ##  [669,] 0.42415495 0.3063341278 7.374710e-02
    ##  [670,] 0.04350307 0.2936457319 6.607029e-01
    ##  [671,] 0.39289970 0.1042386963 9.218388e-03
    ##  [672,] 0.43865597 0.1794501695 2.447048e-02
    ##  [673,] 0.16370296 0.4333313752 3.823512e-01
    ##  [674,] 0.40743849 0.3355375785 9.210835e-02
    ##  [675,] 0.29109043 0.4308138364 2.125348e-01
    ##  [676,] 0.42415495 0.3063341278 7.374710e-02
    ##  [677,] 0.42415495 0.3063341278 7.374710e-02
    ##  [678,] 0.40602867 0.1184250277 1.151354e-02
    ##  [679,] 0.43623913 0.2755194522 5.800410e-02
    ##  [680,] 0.38669397 0.3625255950 1.132892e-01
    ##  [681,] 0.43865597 0.1794501695 2.447048e-02
    ##  [682,] 0.39289970 0.1042386963 9.218388e-03
    ##  [683,] 0.30633413 0.4241549461 1.957638e-01
    ##  [684,] 0.36014652 0.0776786613 5.584740e-03
    ##  [685,] 0.43333138 0.1637029640 2.061445e-02
    ##  [686,] 0.36252559 0.3866939680 1.374912e-01
    ##  [687,] 0.41709325 0.1331148669 1.416116e-02
    ##  [688,] 0.42616898 0.1482326877 1.718640e-02
    ##  [689,] 0.41709325 0.1331148669 1.416116e-02
    ##  [690,] 0.22759810 0.4443581954 2.891855e-01
    ##  [691,] 0.17945017 0.4386559699 3.574234e-01
    ##  [692,] 0.36014652 0.0776786613 5.584740e-03
    ##  [693,] 0.26654443 0.0339238361 1.439193e-03
    ##  [694,] 0.11842503 0.4060286664 4.640328e-01
    ##  [695,] 0.41633799 0.3211750193 8.258786e-02
    ##  [696,] 0.43333138 0.1637029640 2.061445e-02
    ##  [697,] 0.43081384 0.2910904300 6.556091e-02
    ##  [698,] 0.37500000 0.3750000000 1.250000e-01
    ##  [699,] 0.21147326 0.4440938538 3.108657e-01
    ##  [700,] 0.40743849 0.3355375785 9.210835e-02
    ##  [701,] 0.29109043 0.4308138364 2.125348e-01
    ##  [702,] 0.40602867 0.1184250277 1.151354e-02
    ##  [703,] 0.32117502 0.4163379880 1.798991e-01
    ##  [704,] 0.25969672 0.4403553087 2.488965e-01
    ##  [705,] 0.34934628 0.3975319727 1.507880e-01
    ##  [706,] 0.22759810 0.4443581954 2.891855e-01
    ##  [707,] 0.41633799 0.3211750193 8.258786e-02
    ##  [708,] 0.27551945 0.4362391326 2.302373e-01
    ##  [709,] 0.37763083 0.0906313987 7.250512e-03
    ##  [710,] 0.13145329 0.0066840657 1.132892e-04
    ##  [711,] 0.21147326 0.4440938538 3.108657e-01
    ##  [712,] 0.21147326 0.4440938538 3.108657e-01
    ##  [713,] 0.44435820 0.2275981001 3.885821e-02
    ##  [714,] 0.39753197 0.3493462791 1.023338e-01
    ##  [715,] 0.42415495 0.3063341278 7.374710e-02
    ##  [716,] 0.40743849 0.3355375785 9.210835e-02
    ##  [717,] 0.34037125 0.0654560102 4.195898e-03
    ##  [718,] 0.23685006 0.0253767916 9.063140e-04
    ##  [719,] 0.44221829 0.1953987782 2.877966e-02
    ##  [720,] 0.39289970 0.1042386963 9.218388e-03
    ##  [721,] 0.04350307 0.2936457319 6.607029e-01
    ##  [722,] 0.36252559 0.3866939680 1.374912e-01
    ##  [723,] 0.43865597 0.1794501695 2.447048e-02
    ##  [724,] 0.31822950 0.0540389715 3.058810e-03
    ##  [725,] 0.31822950 0.0540389715 3.058810e-03
    ##  [726,] 0.09063140 0.0030210466 3.356718e-05
    ##  [727,] 0.37500000 0.3750000000 1.250000e-01
    ##  [728,] 0.26654443 0.0339238361 1.439193e-03
    ##  [729,] 0.32117502 0.4163379880 1.798991e-01
    ##  [730,] 0.41633799 0.3211750193 8.258786e-02
    ##  [731,] 0.40602867 0.1184250277 1.151354e-02
    ##  [732,] 0.39753197 0.3493462791 1.023338e-01
    ##  [733,] 0.36252559 0.3866939680 1.374912e-01
    ##  [734,] 0.40743849 0.3355375785 9.210835e-02
    ##  [735,] 0.39753197 0.3493462791 1.023338e-01
    ##  [736,] 0.29109043 0.4308138364 2.125348e-01
    ##  [737,] 0.37500000 0.3750000000 1.250000e-01
    ##  [738,] 0.26654443 0.0339238361 1.439193e-03
    ##  [739,] 0.16370296 0.4333313752 3.823512e-01
    ##  [740,] 0.39289970 0.1042386963 9.218388e-03
    ##  [741,] 0.36014652 0.0776786613 5.584740e-03
    ##  [742,] 0.34934628 0.3975319727 1.507880e-01
    ##  [743,] 0.34037125 0.0654560102 4.195898e-03
    ##  [744,] 0.43333138 0.1637029640 2.061445e-02
    ##  [745,] 0.44035531 0.2596967205 5.105149e-02
    ##  [746,] 0.22759810 0.4443581954 2.891855e-01
    ##  [747,] 0.34934628 0.3975319727 1.507880e-01
    ##  [748,] 0.29364573 0.0435030714 2.148300e-03
    ##  [749,] 0.42616898 0.1482326877 1.718640e-02
    ##  [750,] 0.40602867 0.1184250277 1.151354e-02
    ##  [751,] 0.20448709 0.0179374643 5.244873e-04
    ##  [752,] 0.43081384 0.2910904300 6.556091e-02
    ##  [753,] 0.43865597 0.1794501695 2.447048e-02
    ##  [754,] 0.36252559 0.3866939680 1.374912e-01
    ##  [755,] 0.29109043 0.4308138364 2.125348e-01
    ##  [756,] 0.44435820 0.2275981001 3.885821e-02
    ##  [757,] 0.44308684 0.2436977611 4.467792e-02
    ##  [758,] 0.40602867 0.1184250277 1.151354e-02
    ##  [759,] 0.16370296 0.4333313752 3.823512e-01
    ##  [760,] 0.44409385 0.2114732637 3.356718e-02
    ##  [761,] 0.10423870 0.3928997013 4.936432e-01
    ##  [762,] 0.44435820 0.2275981001 3.885821e-02
    ##  [763,] 0.39289970 0.1042386963 9.218388e-03
    ##  [764,] 0.44035531 0.2596967205 5.105149e-02
    ##  [765,] 0.39753197 0.3493462791 1.023338e-01
    ##  [766,] 0.19539878 0.4422182874 3.336033e-01
    ##  [767,] 0.19539878 0.4422182874 3.336033e-01
    ##  [768,] 0.13145329 0.0066840657 1.132892e-04
    ##  [769,] 0.16938001 0.0116813803 2.685375e-04
    ##  [770,] 0.32117502 0.4163379880 1.798991e-01
    ##  [771,] 0.39753197 0.3493462791 1.023338e-01
    ##  [772,] 0.43865597 0.1794501695 2.447048e-02
    ##  [773,] 0.43865597 0.1794501695 2.447048e-02
    ##  [774,] 0.43623913 0.2755194522 5.800410e-02
    ##  [775,] 0.30633413 0.4241549461 1.957638e-01
    ##  [776,] 0.31822950 0.0540389715 3.058810e-03
    ##  [777,] 0.43865597 0.1794501695 2.447048e-02
    ##  [778,] 0.43333138 0.1637029640 2.061445e-02
    ##  [779,] 0.43333138 0.1637029640 2.061445e-02
    ##  [780,] 0.22759810 0.4443581954 2.891855e-01
    ##  [781,] 0.40602867 0.1184250277 1.151354e-02
    ##  [782,] 0.41709325 0.1331148669 1.416116e-02
    ##  [783,] 0.44221829 0.1953987782 2.877966e-02
    ##  [784,] 0.40743849 0.3355375785 9.210835e-02
    ##  [785,] 0.16370296 0.4333313752 3.823512e-01
    ##  [786,] 0.44035531 0.2596967205 5.105149e-02
    ##  [787,] 0.44308684 0.2436977611 4.467792e-02
    ##  [788,] 0.40743849 0.3355375785 9.210835e-02
    ##  [789,] 0.41633799 0.3211750193 8.258786e-02
    ##  [790,] 0.38669397 0.3625255950 1.132892e-01
    ##  [791,] 0.36252559 0.3866939680 1.374912e-01
    ##  [792,] 0.32117502 0.4163379880 1.798991e-01
    ##  [793,] 0.37763083 0.0906313987 7.250512e-03
    ##  [794,] 0.29109043 0.4308138364 2.125348e-01
    ##  [795,] 0.43333138 0.1637029640 2.061445e-02
    ##  [796,] 0.41709325 0.1331148669 1.416116e-02
    ##  [797,] 0.42616898 0.1482326877 1.718640e-02
    ##  [798,] 0.41709325 0.1331148669 1.416116e-02
    ##  [799,] 0.37500000 0.3750000000 1.250000e-01
    ##  [800,] 0.17945017 0.4386559699 3.574234e-01
    ##  [801,] 0.39289970 0.1042386963 9.218388e-03
    ##  [802,] 0.43081384 0.2910904300 6.556091e-02
    ##  [803,] 0.43081384 0.2910904300 6.556091e-02
    ##  [804,] 0.43081384 0.2910904300 6.556091e-02
    ##  [805,] 0.38669397 0.3625255950 1.132892e-01
    ##  [806,] 0.38669397 0.3625255950 1.132892e-01
    ##  [807,] 0.36014652 0.0776786613 5.584740e-03
    ##  [808,] 0.33553758 0.4074384881 1.649156e-01
    ##  [809,] 0.44308684 0.2436977611 4.467792e-02
    ##  [810,] 0.43081384 0.2910904300 6.556091e-02
    ##  [811,] 0.40602867 0.1184250277 1.151354e-02
    ##  [812,] 0.34037125 0.0654560102 4.195898e-03
    ##  [813,] 0.42415495 0.3063341278 7.374710e-02
    ##  [814,] 0.44035531 0.2596967205 5.105149e-02
    ##  [815,] 0.39289970 0.1042386963 9.218388e-03
    ##  [816,] 0.38669397 0.3625255950 1.132892e-01
    ##  [817,] 0.36252559 0.3866939680 1.374912e-01
    ##  [818,] 0.39753197 0.3493462791 1.023338e-01
    ##  [819,] 0.39289970 0.1042386963 9.218388e-03
    ##  [820,] 0.44308684 0.2436977611 4.467792e-02
    ##  [821,] 0.23685006 0.0253767916 9.063140e-04
    ##  [822,] 0.13311487 0.4170932496 4.356307e-01
    ##  [823,] 0.34037125 0.0654560102 4.195898e-03
    ##  [824,] 0.41633799 0.3211750193 8.258786e-02
    ##  [825,] 0.40743849 0.3355375785 9.210835e-02
    ##  [826,] 0.05403897 0.3182294988 6.246727e-01
    ##  [827,] 0.44435820 0.2275981001 3.885821e-02
    ##  [828,] 0.44035531 0.2596967205 5.105149e-02
    ##  [829,] 0.41709325 0.1331148669 1.416116e-02
    ##  [830,] 0.01168138 0.1693800141 8.186701e-01
    ##  [831,] 0.29364573 0.0435030714 2.148300e-03
    ##  [832,] 0.34934628 0.3975319727 1.507880e-01
    ##  [833,] 0.44221829 0.1953987782 2.877966e-02
    ##  [834,] 0.44221829 0.1953987782 2.877966e-02
    ##  [835,] 0.40602867 0.1184250277 1.151354e-02
    ##  [836,] 0.29109043 0.4308138364 2.125348e-01
    ##  [837,] 0.43865597 0.1794501695 2.447048e-02
    ##  [838,] 0.44435820 0.2275981001 3.885821e-02
    ##  [839,] 0.40743849 0.3355375785 9.210835e-02
    ##  [840,] 0.42616898 0.1482326877 1.718640e-02
    ##  [841,] 0.44435820 0.2275981001 3.885821e-02
    ##  [842,] 0.36252559 0.3866939680 1.374912e-01
    ##  [843,] 0.38669397 0.3625255950 1.132892e-01
    ##  [844,] 0.39753197 0.3493462791 1.023338e-01
    ##  [845,] 0.09063140 0.0030210466 3.356718e-05
    ##  [846,] 0.44221829 0.1953987782 2.877966e-02
    ##  [847,] 0.30633413 0.4241549461 1.957638e-01
    ##  [848,] 0.34934628 0.3975319727 1.507880e-01
    ##  [849,] 0.40602867 0.1184250277 1.151354e-02
    ##  [850,] 0.43333138 0.1637029640 2.061445e-02
    ##  [851,] 0.44409385 0.2114732637 3.356718e-02
    ##  [852,] 0.34037125 0.0654560102 4.195898e-03
    ##  [853,] 0.19539878 0.4422182874 3.336033e-01
    ##  [854,] 0.37500000 0.3750000000 1.250000e-01
    ##  [855,] 0.34037125 0.0654560102 4.195898e-03
    ##  [856,] 0.19539878 0.4422182874 3.336033e-01
    ##  [857,] 0.43623913 0.2755194522 5.800410e-02
    ##  [858,] 0.39289970 0.1042386963 9.218388e-03
    ##  [859,] 0.36252559 0.3866939680 1.374912e-01
    ##  [860,] 0.42415495 0.3063341278 7.374710e-02
    ##  [861,] 0.40743849 0.3355375785 9.210835e-02
    ##  [862,] 0.44308684 0.2436977611 4.467792e-02
    ##  [863,] 0.44409385 0.2114732637 3.356718e-02
    ##  [864,] 0.43081384 0.2910904300 6.556091e-02
    ##  [865,] 0.39753197 0.3493462791 1.023338e-01
    ##  [866,] 0.39753197 0.3493462791 1.023338e-01
    ##  [867,] 0.22759810 0.4443581954 2.891855e-01
    ##  [868,] 0.43865597 0.1794501695 2.447048e-02
    ##  [869,] 0.44435820 0.2275981001 3.885821e-02
    ##  [870,] 0.44308684 0.2436977611 4.467792e-02
    ##  [871,] 0.43623913 0.2755194522 5.800410e-02
    ##  [872,] 0.44409385 0.2114732637 3.356718e-02
    ##  [873,] 0.00000000 0.0000000000 0.000000e+00
    ##  [874,] 0.43333138 0.1637029640 2.061445e-02
    ##  [875,] 0.38669397 0.3625255950 1.132892e-01
    ##  [876,] 0.31822950 0.0540389715 3.058810e-03
    ##  [877,] 0.44308684 0.2436977611 4.467792e-02
    ##  [878,] 0.42616898 0.1482326877 1.718640e-02
    ##  [879,] 0.30633413 0.4241549461 1.957638e-01
    ##  [880,] 0.09063140 0.0030210466 3.356718e-05
    ##  [881,] 0.36252559 0.3866939680 1.374912e-01
    ##  [882,] 0.43623913 0.2755194522 5.800410e-02
    ##  [883,] 0.22759810 0.4443581954 2.891855e-01
    ##  [884,] 0.10423870 0.3928997013 4.936432e-01
    ##  [885,] 0.29364573 0.0435030714 2.148300e-03
    ##  [886,] 0.44308684 0.2436977611 4.467792e-02
    ##  [887,] 0.16938001 0.0116813803 2.685375e-04
    ##  [888,] 0.42415495 0.3063341278 7.374710e-02
    ##  [889,] 0.30633413 0.4241549461 1.957638e-01
    ##  [890,] 0.38669397 0.3625255950 1.132892e-01
    ##  [891,] 0.38669397 0.3625255950 1.132892e-01
    ##  [892,] 0.37763083 0.0906313987 7.250512e-03
    ##  [893,] 0.44409385 0.2114732637 3.356718e-02
    ##  [894,] 0.22759810 0.4443581954 2.891855e-01
    ##  [895,] 0.44409385 0.2114732637 3.356718e-02
    ##  [896,] 0.44308684 0.2436977611 4.467792e-02
    ##  [897,] 0.43865597 0.1794501695 2.447048e-02
    ##  [898,] 0.21147326 0.4440938538 3.108657e-01
    ##  [899,] 0.44308684 0.2436977611 4.467792e-02
    ##  [900,] 0.34037125 0.0654560102 4.195898e-03
    ##  [901,] 0.42616898 0.1482326877 1.718640e-02
    ##  [902,] 0.29364573 0.0435030714 2.148300e-03
    ##  [903,] 0.31822950 0.0540389715 3.058810e-03
    ##  [904,] 0.44409385 0.2114732637 3.356718e-02
    ##  [905,] 0.34934628 0.3975319727 1.507880e-01
    ##  [906,] 0.24369776 0.4430868383 2.685375e-01
    ##  [907,] 0.43623913 0.2755194522 5.800410e-02
    ##  [908,] 0.40602867 0.1184250277 1.151354e-02
    ##  [909,] 0.31822950 0.0540389715 3.058810e-03
    ##  [910,] 0.34934628 0.3975319727 1.507880e-01
    ##  [911,] 0.21147326 0.4440938538 3.108657e-01
    ##  [912,] 0.17945017 0.4386559699 3.574234e-01
    ##  [913,] 0.20448709 0.0179374643 5.244873e-04
    ##  [914,] 0.39753197 0.3493462791 1.023338e-01
    ##  [915,] 0.25969672 0.4403553087 2.488965e-01
    ##  [916,] 0.34037125 0.0654560102 4.195898e-03
    ##  [917,] 0.24369776 0.4430868383 2.685375e-01
    ##  [918,] 0.39753197 0.3493462791 1.023338e-01
    ##  [919,] 0.44035531 0.2596967205 5.105149e-02
    ##  [920,] 0.31822950 0.0540389715 3.058810e-03
    ##  [921,] 0.04683881 0.0007678494 4.195898e-06
    ##  [922,] 0.39753197 0.3493462791 1.023338e-01
    ##  [923,] 0.42415495 0.3063341278 7.374710e-02
    ##  [924,] 0.20448709 0.0179374643 5.244873e-04
    ##  [925,] 0.43623913 0.2755194522 5.800410e-02
    ##  [926,] 0.33553758 0.4074384881 1.649156e-01
    ##  [927,] 0.09063140 0.0030210466 3.356718e-05
    ##  [928,] 0.41709325 0.1331148669 1.416116e-02
    ##  [929,] 0.44308684 0.2436977611 4.467792e-02
    ##  [930,] 0.43333138 0.1637029640 2.061445e-02
    ##  [931,] 0.42616898 0.1482326877 1.718640e-02
    ##  [932,] 0.44221829 0.1953987782 2.877966e-02
    ##  [933,] 0.16938001 0.0116813803 2.685375e-04
    ##  [934,] 0.42415495 0.3063341278 7.374710e-02
    ##  [935,] 0.41633799 0.3211750193 8.258786e-02
    ##  [936,] 0.43623913 0.2755194522 5.800410e-02
    ##  [937,] 0.33553758 0.4074384881 1.649156e-01
    ##  [938,] 0.31822950 0.0540389715 3.058810e-03
    ##  [939,] 0.22759810 0.4443581954 2.891855e-01
    ##  [940,] 0.33553758 0.4074384881 1.649156e-01
    ##  [941,] 0.04683881 0.0007678494 4.195898e-06
    ##  [942,] 0.14823269 0.4261689772 4.084119e-01
    ##  [943,] 0.44409385 0.2114732637 3.356718e-02
    ##  [944,] 0.32117502 0.4163379880 1.798991e-01
    ##  [945,] 0.34037125 0.0654560102 4.195898e-03
    ##  [946,] 0.44435820 0.2275981001 3.885821e-02
    ##  [947,] 0.33553758 0.4074384881 1.649156e-01
    ##  [948,] 0.44035531 0.2596967205 5.105149e-02
    ##  [949,] 0.39753197 0.3493462791 1.023338e-01
    ##  [950,] 0.39289970 0.1042386963 9.218388e-03
    ##  [951,] 0.34037125 0.0654560102 4.195898e-03
    ##  [952,] 0.41633799 0.3211750193 8.258786e-02
    ##  [953,] 0.39753197 0.3493462791 1.023338e-01
    ##  [954,] 0.37500000 0.3750000000 1.250000e-01
    ##  [955,] 0.38669397 0.3625255950 1.132892e-01
    ##  [956,] 0.39753197 0.3493462791 1.023338e-01
    ##  [957,] 0.25969672 0.4403553087 2.488965e-01
    ##  [958,] 0.44435820 0.2275981001 3.885821e-02
    ##  [959,] 0.41633799 0.3211750193 8.258786e-02
    ##  [960,] 0.33553758 0.4074384881 1.649156e-01
    ##  [961,] 0.34934628 0.3975319727 1.507880e-01
    ##  [962,] 0.41633799 0.3211750193 8.258786e-02
    ##  [963,] 0.38669397 0.3625255950 1.132892e-01
    ##  [964,] 0.39753197 0.3493462791 1.023338e-01
    ##  [965,] 0.37500000 0.3750000000 1.250000e-01
    ##  [966,] 0.38669397 0.3625255950 1.132892e-01
    ##  [967,] 0.27551945 0.4362391326 2.302373e-01
    ##  [968,] 0.44435820 0.2275981001 3.885821e-02
    ##  [969,] 0.37500000 0.3750000000 1.250000e-01
    ##  [970,] 0.40743849 0.3355375785 9.210835e-02
    ##  [971,] 0.29364573 0.0435030714 2.148300e-03
    ##  [972,] 0.19539878 0.4422182874 3.336033e-01
    ##  [973,] 0.17945017 0.4386559699 3.574234e-01
    ##  [974,] 0.39753197 0.3493462791 1.023338e-01
    ##  [975,] 0.44308684 0.2436977611 4.467792e-02
    ##  [976,] 0.19539878 0.4422182874 3.336033e-01
    ##  [977,] 0.44409385 0.2114732637 3.356718e-02
    ##  [978,] 0.41633799 0.3211750193 8.258786e-02
    ##  [979,] 0.31822950 0.0540389715 3.058810e-03
    ##  [980,] 0.16938001 0.0116813803 2.685375e-04
    ##  [981,] 0.26654443 0.0339238361 1.439193e-03
    ##  [982,] 0.43333138 0.1637029640 2.061445e-02
    ##  [983,] 0.44035531 0.2596967205 5.105149e-02
    ##  [984,] 0.37500000 0.3750000000 1.250000e-01
    ##  [985,] 0.43865597 0.1794501695 2.447048e-02
    ##  [986,] 0.34037125 0.0654560102 4.195898e-03
    ##  [987,] 0.24369776 0.4430868383 2.685375e-01
    ##  [988,] 0.14823269 0.4261689772 4.084119e-01
    ##  [989,] 0.41633799 0.3211750193 8.258786e-02
    ##  [990,] 0.33553758 0.4074384881 1.649156e-01
    ##  [991,] 0.43623913 0.2755194522 5.800410e-02
    ##  [992,] 0.44308684 0.2436977611 4.467792e-02
    ##  [993,] 0.29109043 0.4308138364 2.125348e-01
    ##  [994,] 0.40743849 0.3355375785 9.210835e-02
    ##  [995,] 0.29109043 0.4308138364 2.125348e-01
    ##  [996,] 0.32117502 0.4163379880 1.798991e-01
    ##  [997,] 0.41709325 0.1331148669 1.416116e-02
    ##  [998,] 0.41633799 0.3211750193 8.258786e-02
    ##  [999,] 0.30633413 0.4241549461 1.957638e-01
    ## [1000,] 0.40602867 0.1184250277 1.151354e-02
    ## [1001,] 0.43623913 0.2755194522 5.800410e-02
    ## [1002,] 0.30633413 0.4241549461 1.957638e-01
    ## [1003,] 0.44409385 0.2114732637 3.356718e-02
    ## [1004,] 0.39289970 0.1042386963 9.218388e-03
    ## [1005,] 0.44035531 0.2596967205 5.105149e-02
    ## [1006,] 0.41633799 0.3211750193 8.258786e-02
    ## [1007,] 0.37500000 0.3750000000 1.250000e-01
    ## [1008,] 0.36252559 0.3866939680 1.374912e-01
    ## [1009,] 0.44308684 0.2436977611 4.467792e-02
    ## [1010,] 0.26654443 0.0339238361 1.439193e-03
    ## [1011,] 0.34934628 0.3975319727 1.507880e-01
    ## [1012,] 0.40602867 0.1184250277 1.151354e-02
    ## [1013,] 0.43623913 0.2755194522 5.800410e-02
    ## [1014,] 0.22759810 0.4443581954 2.891855e-01
    ## [1015,] 0.39289970 0.1042386963 9.218388e-03
    ## [1016,] 0.36014652 0.0776786613 5.584740e-03
    ## [1017,] 0.43333138 0.1637029640 2.061445e-02
    ## [1018,] 0.34037125 0.0654560102 4.195898e-03
    ## [1019,] 0.36252559 0.3866939680 1.374912e-01
    ## [1020,] 0.29364573 0.0435030714 2.148300e-03
    ## [1021,] 0.39289970 0.1042386963 9.218388e-03
    ## [1022,] 0.36252559 0.3866939680 1.374912e-01
    ## [1023,] 0.16938001 0.0116813803 2.685375e-04
    ## [1024,] 0.29109043 0.4308138364 2.125348e-01
    ## [1025,] 0.16370296 0.4333313752 3.823512e-01
    ## [1026,] 0.16370296 0.4333313752 3.823512e-01
    ## [1027,] 0.43081384 0.2910904300 6.556091e-02
    ## [1028,] 0.44409385 0.2114732637 3.356718e-02
    ## [1029,] 0.17945017 0.4386559699 3.574234e-01
    ## [1030,] 0.43865597 0.1794501695 2.447048e-02
    ## [1031,] 0.30633413 0.4241549461 1.957638e-01
    ## [1032,] 0.29364573 0.0435030714 2.148300e-03
    ## [1033,] 0.40743849 0.3355375785 9.210835e-02
    ## [1034,] 0.16938001 0.0116813803 2.685375e-04
    ## [1035,] 0.24369776 0.4430868383 2.685375e-01
    ## [1036,] 0.16370296 0.4333313752 3.823512e-01
    ## [1037,] 0.10423870 0.3928997013 4.936432e-01
    ## [1038,] 0.43081384 0.2910904300 6.556091e-02
    ## [1039,] 0.44308684 0.2436977611 4.467792e-02
    ## [1040,] 0.44035531 0.2596967205 5.105149e-02
    ## [1041,] 0.34934628 0.3975319727 1.507880e-01
    ## [1042,] 0.43081384 0.2910904300 6.556091e-02
    ## [1043,] 0.42616898 0.1482326877 1.718640e-02
    ## [1044,] 0.41709325 0.1331148669 1.416116e-02
    ## [1045,] 0.40743849 0.3355375785 9.210835e-02
    ## [1046,] 0.44409385 0.2114732637 3.356718e-02
    ## [1047,] 0.42415495 0.3063341278 7.374710e-02
    ## [1048,] 0.36252559 0.3866939680 1.374912e-01
    ## [1049,] 0.29109043 0.4308138364 2.125348e-01
    ## [1050,] 0.37500000 0.3750000000 1.250000e-01
    ## [1051,] 0.39753197 0.3493462791 1.023338e-01
    ## [1052,] 0.44308684 0.2436977611 4.467792e-02
    ## [1053,] 0.13145329 0.0066840657 1.132892e-04
    ## [1054,] 0.19539878 0.4422182874 3.336033e-01
    ## [1055,] 0.42415495 0.3063341278 7.374710e-02
    ## [1056,] 0.43081384 0.2910904300 6.556091e-02
    ## [1057,] 0.36014652 0.0776786613 5.584740e-03
    ## [1058,] 0.29364573 0.0435030714 2.148300e-03
    ## [1059,] 0.44409385 0.2114732637 3.356718e-02
    ## [1060,] 0.41633799 0.3211750193 8.258786e-02
    ## [1061,] 0.44435820 0.2275981001 3.885821e-02
    ## [1062,] 0.41709325 0.1331148669 1.416116e-02
    ## [1063,] 0.42415495 0.3063341278 7.374710e-02
    ## [1064,] 0.38669397 0.3625255950 1.132892e-01
    ## [1065,] 0.41633799 0.3211750193 8.258786e-02
    ## [1066,] 0.27551945 0.4362391326 2.302373e-01
    ## [1067,] 0.05403897 0.3182294988 6.246727e-01
    ## [1068,] 0.37763083 0.0906313987 7.250512e-03
    ## [1069,] 0.41633799 0.3211750193 8.258786e-02
    ## [1070,] 0.44035531 0.2596967205 5.105149e-02
    ## [1071,] 0.44308684 0.2436977611 4.467792e-02
    ## [1072,] 0.22759810 0.4443581954 2.891855e-01
    ## [1073,] 0.40743849 0.3355375785 9.210835e-02
    ## [1074,] 0.44409385 0.2114732637 3.356718e-02
    ## [1075,] 0.32117502 0.4163379880 1.798991e-01
    ## [1076,] 0.40743849 0.3355375785 9.210835e-02
    ## [1077,] 0.34037125 0.0654560102 4.195898e-03
    ## [1078,] 0.42616898 0.1482326877 1.718640e-02
    ## [1079,] 0.16938001 0.0116813803 2.685375e-04
    ## [1080,] 0.31822950 0.0540389715 3.058810e-03
    ## [1081,] 0.33553758 0.4074384881 1.649156e-01
    ## [1082,] 0.43081384 0.2910904300 6.556091e-02
    ## [1083,] 0.33553758 0.4074384881 1.649156e-01
    ## [1084,] 0.30633413 0.4241549461 1.957638e-01
    ## [1085,] 0.39753197 0.3493462791 1.023338e-01
    ## [1086,] 0.43623913 0.2755194522 5.800410e-02
    ## [1087,] 0.04350307 0.2936457319 6.607029e-01
    ## [1088,] 0.43333138 0.1637029640 2.061445e-02
    ## [1089,] 0.21147326 0.4440938538 3.108657e-01
    ## [1090,] 0.41633799 0.3211750193 8.258786e-02
    ## [1091,] 0.19539878 0.4422182874 3.336033e-01
    ## [1092,] 0.44435820 0.2275981001 3.885821e-02
    ## [1093,] 0.26654443 0.0339238361 1.439193e-03
    ## [1094,] 0.34934628 0.3975319727 1.507880e-01
    ## [1095,] 0.24369776 0.4430868383 2.685375e-01
    ## [1096,] 0.33553758 0.4074384881 1.649156e-01
    ## [1097,] 0.41633799 0.3211750193 8.258786e-02
    ## [1098,] 0.44035531 0.2596967205 5.105149e-02
    ## [1099,] 0.43623913 0.2755194522 5.800410e-02
    ## [1100,] 0.39289970 0.1042386963 9.218388e-03
    ## [1101,] 0.39753197 0.3493462791 1.023338e-01
    ## [1102,] 0.32117502 0.4163379880 1.798991e-01
    ## [1103,] 0.44221829 0.1953987782 2.877966e-02
    ## [1104,] 0.33553758 0.4074384881 1.649156e-01
    ## [1105,] 0.44035531 0.2596967205 5.105149e-02
    ## [1106,] 0.44435820 0.2275981001 3.885821e-02
    ## [1107,] 0.20448709 0.0179374643 5.244873e-04
    ## [1108,] 0.43081384 0.2910904300 6.556091e-02
    ## [1109,] 0.36014652 0.0776786613 5.584740e-03
    ## [1110,] 0.43081384 0.2910904300 6.556091e-02
    ## [1111,] 0.14823269 0.4261689772 4.084119e-01
    ## [1112,] 0.37500000 0.3750000000 1.250000e-01
    ## [1113,] 0.40743849 0.3355375785 9.210835e-02
    ## [1114,] 0.37763083 0.0906313987 7.250512e-03
    ## [1115,] 0.36014652 0.0776786613 5.584740e-03
    ## [1116,] 0.40602867 0.1184250277 1.151354e-02
    ## [1117,] 0.44308684 0.2436977611 4.467792e-02
    ## [1118,] 0.23685006 0.0253767916 9.063140e-04
    ## [1119,] 0.39753197 0.3493462791 1.023338e-01
    ## [1120,] 0.26654443 0.0339238361 1.439193e-03
    ## [1121,] 0.42415495 0.3063341278 7.374710e-02
    ## [1122,] 0.30633413 0.4241549461 1.957638e-01
    ## [1123,] 0.22759810 0.4443581954 2.891855e-01
    ## [1124,] 0.16370296 0.4333313752 3.823512e-01
    ## [1125,] 0.37500000 0.3750000000 1.250000e-01
    ## [1126,] 0.23685006 0.0253767916 9.063140e-04
    ## [1127,] 0.11842503 0.4060286664 4.640328e-01
    ## [1128,] 0.25969672 0.4403553087 2.488965e-01
    ## [1129,] 0.39753197 0.3493462791 1.023338e-01
    ## [1130,] 0.20448709 0.0179374643 5.244873e-04
    ## [1131,] 0.43081384 0.2910904300 6.556091e-02
    ## [1132,] 0.24369776 0.4430868383 2.685375e-01
    ## [1133,] 0.38669397 0.3625255950 1.132892e-01
    ## [1134,] 0.36252559 0.3866939680 1.374912e-01
    ## [1135,] 0.24369776 0.4430868383 2.685375e-01
    ## [1136,] 0.09063140 0.0030210466 3.356718e-05
    ## [1137,] 0.42415495 0.3063341278 7.374710e-02
    ## [1138,] 0.36252559 0.3866939680 1.374912e-01
    ## [1139,] 0.29109043 0.4308138364 2.125348e-01
    ## [1140,] 0.44435820 0.2275981001 3.885821e-02
    ## [1141,] 0.36252559 0.3866939680 1.374912e-01
    ## [1142,] 0.23685006 0.0253767916 9.063140e-04
    ## [1143,] 0.32117502 0.4163379880 1.798991e-01
    ## [1144,] 0.43333138 0.1637029640 2.061445e-02
    ## [1145,] 0.26654443 0.0339238361 1.439193e-03
    ## [1146,] 0.23685006 0.0253767916 9.063140e-04
    ## [1147,] 0.25969672 0.4403553087 2.488965e-01
    ## [1148,] 0.44308684 0.2436977611 4.467792e-02
    ## [1149,] 0.38669397 0.3625255950 1.132892e-01
    ## [1150,] 0.44035531 0.2596967205 5.105149e-02
    ## [1151,] 0.36252559 0.3866939680 1.374912e-01
    ## [1152,] 0.43333138 0.1637029640 2.061445e-02
    ## [1153,] 0.31822950 0.0540389715 3.058810e-03
    ## [1154,] 0.44035531 0.2596967205 5.105149e-02
    ## [1155,] 0.22759810 0.4443581954 2.891855e-01
    ## [1156,] 0.29109043 0.4308138364 2.125348e-01
    ## [1157,] 0.30633413 0.4241549461 1.957638e-01
    ## [1158,] 0.42616898 0.1482326877 1.718640e-02
    ## [1159,] 0.43081384 0.2910904300 6.556091e-02
    ## [1160,] 0.43081384 0.2910904300 6.556091e-02
    ## [1161,] 0.41633799 0.3211750193 8.258786e-02
    ## [1162,] 0.44308684 0.2436977611 4.467792e-02
    ## [1163,] 0.41709325 0.1331148669 1.416116e-02
    ## [1164,] 0.41633799 0.3211750193 8.258786e-02
    ## [1165,] 0.13145329 0.0066840657 1.132892e-04
    ## [1166,] 0.30633413 0.4241549461 1.957638e-01
    ## [1167,] 0.43333138 0.1637029640 2.061445e-02
    ## [1168,] 0.20448709 0.0179374643 5.244873e-04
    ## [1169,] 0.19539878 0.4422182874 3.336033e-01
    ## [1170,] 0.34934628 0.3975319727 1.507880e-01
    ## [1171,] 0.43081384 0.2910904300 6.556091e-02
    ## [1172,] 0.09063140 0.0030210466 3.356718e-05
    ## [1173,] 0.34934628 0.3975319727 1.507880e-01
    ## [1174,] 0.13311487 0.4170932496 4.356307e-01
    ## [1175,] 0.43865597 0.1794501695 2.447048e-02
    ## [1176,] 0.41709325 0.1331148669 1.416116e-02
    ## [1177,] 0.40602867 0.1184250277 1.151354e-02
    ## [1178,] 0.41633799 0.3211750193 8.258786e-02
    ## [1179,] 0.34934628 0.3975319727 1.507880e-01
    ## [1180,] 0.41709325 0.1331148669 1.416116e-02
    ## [1181,] 0.39753197 0.3493462791 1.023338e-01
    ## [1182,] 0.20448709 0.0179374643 5.244873e-04
    ## [1183,] 0.25969672 0.4403553087 2.488965e-01
    ## [1184,] 0.19539878 0.4422182874 3.336033e-01
    ## [1185,] 0.36014652 0.0776786613 5.584740e-03
    ## [1186,] 0.44221829 0.1953987782 2.877966e-02
    ## [1187,] 0.44435820 0.2275981001 3.885821e-02
    ## [1188,] 0.22759810 0.4443581954 2.891855e-01
    ## [1189,] 0.39289970 0.1042386963 9.218388e-03
    ## [1190,] 0.29364573 0.0435030714 2.148300e-03
    ## [1191,] 0.34934628 0.3975319727 1.507880e-01
    ## [1192,] 0.44409385 0.2114732637 3.356718e-02
    ## [1193,] 0.36252559 0.3866939680 1.374912e-01
    ## [1194,] 0.37500000 0.3750000000 1.250000e-01
    ## [1195,] 0.44308684 0.2436977611 4.467792e-02
    ## [1196,] 0.37763083 0.0906313987 7.250512e-03
    ## [1197,] 0.44035531 0.2596967205 5.105149e-02
    ## [1198,] 0.40602867 0.1184250277 1.151354e-02
    ## [1199,] 0.29364573 0.0435030714 2.148300e-03
    ## [1200,] 0.44035531 0.2596967205 5.105149e-02
    ## [1201,] 0.43333138 0.1637029640 2.061445e-02
    ## [1202,] 0.36252559 0.3866939680 1.374912e-01
    ## [1203,] 0.43081384 0.2910904300 6.556091e-02
    ## [1204,] 0.36252559 0.3866939680 1.374912e-01
    ## [1205,] 0.04683881 0.0007678494 4.195898e-06
    ## [1206,] 0.43623913 0.2755194522 5.800410e-02
    ## [1207,] 0.32117502 0.4163379880 1.798991e-01
    ## [1208,] 0.16938001 0.0116813803 2.685375e-04
    ## [1209,] 0.37500000 0.3750000000 1.250000e-01
    ## [1210,] 0.41709325 0.1331148669 1.416116e-02
    ## [1211,] 0.39289970 0.1042386963 9.218388e-03
    ## [1212,] 0.44308684 0.2436977611 4.467792e-02
    ## [1213,] 0.38669397 0.3625255950 1.132892e-01
    ## [1214,] 0.40743849 0.3355375785 9.210835e-02
    ## [1215,] 0.36252559 0.3866939680 1.374912e-01
    ## [1216,] 0.44409385 0.2114732637 3.356718e-02
    ## [1217,] 0.41709325 0.1331148669 1.416116e-02
    ## [1218,] 0.33553758 0.4074384881 1.649156e-01
    ## [1219,] 0.38669397 0.3625255950 1.132892e-01
    ## [1220,] 0.32117502 0.4163379880 1.798991e-01
    ## [1221,] 0.43081384 0.2910904300 6.556091e-02
    ## [1222,] 0.30633413 0.4241549461 1.957638e-01
    ## [1223,] 0.26654443 0.0339238361 1.439193e-03
    ## [1224,] 0.43333138 0.1637029640 2.061445e-02
    ## [1225,] 0.43865597 0.1794501695 2.447048e-02
    ## [1226,] 0.43081384 0.2910904300 6.556091e-02
    ## [1227,] 0.33553758 0.4074384881 1.649156e-01
    ## [1228,] 0.34934628 0.3975319727 1.507880e-01
    ## [1229,] 0.38669397 0.3625255950 1.132892e-01
    ## [1230,] 0.43623913 0.2755194522 5.800410e-02
    ## [1231,] 0.40602867 0.1184250277 1.151354e-02
    ## [1232,] 0.38669397 0.3625255950 1.132892e-01
    ## [1233,] 0.09063140 0.0030210466 3.356718e-05
    ## [1234,] 0.24369776 0.4430868383 2.685375e-01
    ## [1235,] 0.44409385 0.2114732637 3.356718e-02
    ## [1236,] 0.20448709 0.0179374643 5.244873e-04
    ## [1237,] 0.30633413 0.4241549461 1.957638e-01
    ## [1238,] 0.11842503 0.4060286664 4.640328e-01
    ## [1239,] 0.39753197 0.3493462791 1.023338e-01
    ## [1240,] 0.43333138 0.1637029640 2.061445e-02
    ## [1241,] 0.44035531 0.2596967205 5.105149e-02
    ## [1242,] 0.44308684 0.2436977611 4.467792e-02
    ## [1243,] 0.36252559 0.3866939680 1.374912e-01
    ## [1244,] 0.43333138 0.1637029640 2.061445e-02
    ## [1245,] 0.43081384 0.2910904300 6.556091e-02
    ## [1246,] 0.20448709 0.0179374643 5.244873e-04
    ## [1247,] 0.23685006 0.0253767916 9.063140e-04
    ## [1248,] 0.36252559 0.3866939680 1.374912e-01
    ## [1249,] 0.29109043 0.4308138364 2.125348e-01
    ## [1250,] 0.44035531 0.2596967205 5.105149e-02
    ## [1251,] 0.30633413 0.4241549461 1.957638e-01
    ## [1252,] 0.44435820 0.2275981001 3.885821e-02
    ## [1253,] 0.43333138 0.1637029640 2.061445e-02
    ## [1254,] 0.34934628 0.3975319727 1.507880e-01
    ## [1255,] 0.29109043 0.4308138364 2.125348e-01
    ## [1256,] 0.25969672 0.4403553087 2.488965e-01
    ## [1257,] 0.13145329 0.0066840657 1.132892e-04
    ## [1258,] 0.21147326 0.4440938538 3.108657e-01
    ## [1259,] 0.27551945 0.4362391326 2.302373e-01
    ## [1260,] 0.40602867 0.1184250277 1.151354e-02
    ## [1261,] 0.34037125 0.0654560102 4.195898e-03
    ## [1262,] 0.21147326 0.4440938538 3.108657e-01
    ## [1263,] 0.29109043 0.4308138364 2.125348e-01
    ## [1264,] 0.43865597 0.1794501695 2.447048e-02
    ## [1265,] 0.40743849 0.3355375785 9.210835e-02
    ## [1266,] 0.42415495 0.3063341278 7.374710e-02
    ## [1267,] 0.43865597 0.1794501695 2.447048e-02
    ## [1268,] 0.44035531 0.2596967205 5.105149e-02
    ## [1269,] 0.16938001 0.0116813803 2.685375e-04
    ## [1270,] 0.34934628 0.3975319727 1.507880e-01
    ## [1271,] 0.25969672 0.4403553087 2.488965e-01
    ## [1272,] 0.29109043 0.4308138364 2.125348e-01
    ## [1273,] 0.43865597 0.1794501695 2.447048e-02
    ## [1274,] 0.44409385 0.2114732637 3.356718e-02
    ## [1275,] 0.42415495 0.3063341278 7.374710e-02
    ## [1276,] 0.27551945 0.4362391326 2.302373e-01
    ## [1277,] 0.44409385 0.2114732637 3.356718e-02
    ## [1278,] 0.43865597 0.1794501695 2.447048e-02
    ## [1279,] 0.34037125 0.0654560102 4.195898e-03
    ## [1280,] 0.34934628 0.3975319727 1.507880e-01
    ## [1281,] 0.29109043 0.4308138364 2.125348e-01
    ## [1282,] 0.44435820 0.2275981001 3.885821e-02
    ## [1283,] 0.43623913 0.2755194522 5.800410e-02
    ## [1284,] 0.41709325 0.1331148669 1.416116e-02
    ## [1285,] 0.44308684 0.2436977611 4.467792e-02
    ## [1286,] 0.44308684 0.2436977611 4.467792e-02
    ## [1287,] 0.34934628 0.3975319727 1.507880e-01
    ## [1288,] 0.01168138 0.1693800141 8.186701e-01
    ## [1289,] 0.25969672 0.4403553087 2.488965e-01
    ## [1290,] 0.26654443 0.0339238361 1.439193e-03
    ## [1291,] 0.31822950 0.0540389715 3.058810e-03
    ## [1292,] 0.41709325 0.1331148669 1.416116e-02
    ## [1293,] 0.42616898 0.1482326877 1.718640e-02
    ## [1294,] 0.39753197 0.3493462791 1.023338e-01
    ## [1295,] 0.39289970 0.1042386963 9.218388e-03
    ## [1296,] 0.40743849 0.3355375785 9.210835e-02
    ## [1297,] 0.39753197 0.3493462791 1.023338e-01
    ## [1298,] 0.37500000 0.3750000000 1.250000e-01
    ## [1299,] 0.34934628 0.3975319727 1.507880e-01
    ## [1300,] 0.39289970 0.1042386963 9.218388e-03
    ## [1301,] 0.38669397 0.3625255950 1.132892e-01
    ## [1302,] 0.30633413 0.4241549461 1.957638e-01
    ## [1303,] 0.27551945 0.4362391326 2.302373e-01
    ## [1304,] 0.40602867 0.1184250277 1.151354e-02
    ## [1305,] 0.21147326 0.4440938538 3.108657e-01
    ## [1306,] 0.43623913 0.2755194522 5.800410e-02
    ## [1307,] 0.40743849 0.3355375785 9.210835e-02
    ## [1308,] 0.32117502 0.4163379880 1.798991e-01
    ## [1309,] 0.40602867 0.1184250277 1.151354e-02
    ## [1310,] 0.37763083 0.0906313987 7.250512e-03
    ## [1311,] 0.36252559 0.3866939680 1.374912e-01
    ## [1312,] 0.44308684 0.2436977611 4.467792e-02
    ## [1313,] 0.29109043 0.4308138364 2.125348e-01
    ## [1314,] 0.43333138 0.1637029640 2.061445e-02
    ## [1315,] 0.41709325 0.1331148669 1.416116e-02
    ## [1316,] 0.44409385 0.2114732637 3.356718e-02
    ## [1317,] 0.43623913 0.2755194522 5.800410e-02
    ## [1318,] 0.41633799 0.3211750193 8.258786e-02
    ## [1319,] 0.37763083 0.0906313987 7.250512e-03
    ## [1320,] 0.42616898 0.1482326877 1.718640e-02
    ## [1321,] 0.43081384 0.2910904300 6.556091e-02
    ## [1322,] 0.24369776 0.4430868383 2.685375e-01
    ## [1323,] 0.42415495 0.3063341278 7.374710e-02
    ## [1324,] 0.34037125 0.0654560102 4.195898e-03
    ## [1325,] 0.44221829 0.1953987782 2.877966e-02
    ## [1326,] 0.27551945 0.4362391326 2.302373e-01
    ## [1327,] 0.44409385 0.2114732637 3.356718e-02
    ## [1328,] 0.44035531 0.2596967205 5.105149e-02
    ## [1329,] 0.17945017 0.4386559699 3.574234e-01
    ## [1330,] 0.44308684 0.2436977611 4.467792e-02
    ## [1331,] 0.34934628 0.3975319727 1.507880e-01
    ## [1332,] 0.44035531 0.2596967205 5.105149e-02
    ## [1333,] 0.33553758 0.4074384881 1.649156e-01
    ## [1334,] 0.31822950 0.0540389715 3.058810e-03
    ## [1335,] 0.33553758 0.4074384881 1.649156e-01
    ## [1336,] 0.34934628 0.3975319727 1.507880e-01
    ## [1337,] 0.34934628 0.3975319727 1.507880e-01
    ## [1338,] 0.34037125 0.0654560102 4.195898e-03
    ## [1339,] 0.37500000 0.3750000000 1.250000e-01
    ## [1340,] 0.19539878 0.4422182874 3.336033e-01
    ## [1341,] 0.38669397 0.3625255950 1.132892e-01
    ## [1342,] 0.39289970 0.1042386963 9.218388e-03
    ## [1343,] 0.32117502 0.4163379880 1.798991e-01
    ## [1344,] 0.37500000 0.3750000000 1.250000e-01
    ## [1345,] 0.38669397 0.3625255950 1.132892e-01
    ## [1346,] 0.42415495 0.3063341278 7.374710e-02
    ## [1347,] 0.20448709 0.0179374643 5.244873e-04
    ## [1348,] 0.43623913 0.2755194522 5.800410e-02
    ## [1349,] 0.40602867 0.1184250277 1.151354e-02
    ## [1350,] 0.43081384 0.2910904300 6.556091e-02
    ## [1351,] 0.29364573 0.0435030714 2.148300e-03
    ## [1352,] 0.10423870 0.3928997013 4.936432e-01
    ## [1353,] 0.39289970 0.1042386963 9.218388e-03
    ## [1354,] 0.37500000 0.3750000000 1.250000e-01
    ## [1355,] 0.36014652 0.0776786613 5.584740e-03
    ## [1356,] 0.44035531 0.2596967205 5.105149e-02
    ## [1357,] 0.44435820 0.2275981001 3.885821e-02
    ## [1358,] 0.43081384 0.2910904300 6.556091e-02
    ## [1359,] 0.43865597 0.1794501695 2.447048e-02
    ## [1360,] 0.24369776 0.4430868383 2.685375e-01
    ## [1361,] 0.41633799 0.3211750193 8.258786e-02
    ## [1362,] 0.13145329 0.0066840657 1.132892e-04
    ## [1363,] 0.44435820 0.2275981001 3.885821e-02
    ## [1364,] 0.34037125 0.0654560102 4.195898e-03
    ## [1365,] 0.30633413 0.4241549461 1.957638e-01
    ## [1366,] 0.23685006 0.0253767916 9.063140e-04
    ## [1367,] 0.25969672 0.4403553087 2.488965e-01
    ## [1368,] 0.39753197 0.3493462791 1.023338e-01
    ## [1369,] 0.42415495 0.3063341278 7.374710e-02
    ## [1370,] 0.40602867 0.1184250277 1.151354e-02
    ## [1371,] 0.44435820 0.2275981001 3.885821e-02
    ## [1372,] 0.43623913 0.2755194522 5.800410e-02
    ## [1373,] 0.23685006 0.0253767916 9.063140e-04
    ## [1374,] 0.41709325 0.1331148669 1.416116e-02
    ## [1375,] 0.34037125 0.0654560102 4.195898e-03
    ## [1376,] 0.16938001 0.0116813803 2.685375e-04
    ## [1377,] 0.44221829 0.1953987782 2.877966e-02
    ## [1378,] 0.00000000 0.0000000000 0.000000e+00
    ## [1379,] 0.44221829 0.1953987782 2.877966e-02
    ## [1380,] 0.43081384 0.2910904300 6.556091e-02
    ## [1381,] 0.37500000 0.3750000000 1.250000e-01
    ## [1382,] 0.33553758 0.4074384881 1.649156e-01
    ## [1383,] 0.42616898 0.1482326877 1.718640e-02
    ## [1384,] 0.43333138 0.1637029640 2.061445e-02
    ## [1385,] 0.42616898 0.1482326877 1.718640e-02
    ## [1386,] 0.36252559 0.3866939680 1.374912e-01
    ## [1387,] 0.36252559 0.3866939680 1.374912e-01
    ## [1388,] 0.29109043 0.4308138364 2.125348e-01
    ## [1389,] 0.27551945 0.4362391326 2.302373e-01
    ## [1390,] 0.36252559 0.3866939680 1.374912e-01
    ## [1391,] 0.42415495 0.3063341278 7.374710e-02
    ## [1392,] 0.37763083 0.0906313987 7.250512e-03
    ## [1393,] 0.42616898 0.1482326877 1.718640e-02
    ## [1394,] 0.36252559 0.3866939680 1.374912e-01
    ## [1395,] 0.32117502 0.4163379880 1.798991e-01
    ## [1396,] 0.44308684 0.2436977611 4.467792e-02
    ## [1397,] 0.43865597 0.1794501695 2.447048e-02
    ## [1398,] 0.30633413 0.4241549461 1.957638e-01
    ## [1399,] 0.42415495 0.3063341278 7.374710e-02
    ## [1400,] 0.00000000 0.0000000000 1.000000e+00
    ## [1401,] 0.41633799 0.3211750193 8.258786e-02
    ## [1402,] 0.34934628 0.3975319727 1.507880e-01
    ## [1403,] 0.21147326 0.4440938538 3.108657e-01
    ## [1404,] 0.41709325 0.1331148669 1.416116e-02
    ## [1405,] 0.44221829 0.1953987782 2.877966e-02
    ## [1406,] 0.22759810 0.4443581954 2.891855e-01
    ## [1407,] 0.27551945 0.4362391326 2.302373e-01
    ## [1408,] 0.44221829 0.1953987782 2.877966e-02
    ## [1409,] 0.43865597 0.1794501695 2.447048e-02
    ## [1410,] 0.41633799 0.3211750193 8.258786e-02
    ## [1411,] 0.43865597 0.1794501695 2.447048e-02
    ## [1412,] 0.20448709 0.0179374643 5.244873e-04
    ## [1413,] 0.41709325 0.1331148669 1.416116e-02
    ## [1414,] 0.44221829 0.1953987782 2.877966e-02
    ## [1415,] 0.27551945 0.4362391326 2.302373e-01
    ## [1416,] 0.16938001 0.0116813803 2.685375e-04
    ## [1417,] 0.21147326 0.4440938538 3.108657e-01
    ## [1418,] 0.37763083 0.0906313987 7.250512e-03
    ## [1419,] 0.36252559 0.3866939680 1.374912e-01
    ## [1420,] 0.44409385 0.2114732637 3.356718e-02
    ## [1421,] 0.29109043 0.4308138364 2.125348e-01
    ## [1422,] 0.44435820 0.2275981001 3.885821e-02
    ## [1423,] 0.05403897 0.3182294988 6.246727e-01
    ## [1424,] 0.41709325 0.1331148669 1.416116e-02
    ## [1425,] 0.41633799 0.3211750193 8.258786e-02
    ## [1426,] 0.44035531 0.2596967205 5.105149e-02
    ## [1427,] 0.22759810 0.4443581954 2.891855e-01
    ## [1428,] 0.41709325 0.1331148669 1.416116e-02
    ## [1429,] 0.39753197 0.3493462791 1.023338e-01
    ## [1430,] 0.42616898 0.1482326877 1.718640e-02
    ## [1431,] 0.20448709 0.0179374643 5.244873e-04
    ## [1432,] 0.40602867 0.1184250277 1.151354e-02
    ## [1433,] 0.37763083 0.0906313987 7.250512e-03
    ## [1434,] 0.33553758 0.4074384881 1.649156e-01
    ## [1435,] 0.36252559 0.3866939680 1.374912e-01
    ## [1436,] 0.25969672 0.4403553087 2.488965e-01
    ## [1437,] 0.40743849 0.3355375785 9.210835e-02
    ## [1438,] 0.40602867 0.1184250277 1.151354e-02
    ## [1439,] 0.32117502 0.4163379880 1.798991e-01
    ## [1440,] 0.39289970 0.1042386963 9.218388e-03
    ## [1441,] 0.44221829 0.1953987782 2.877966e-02
    ## [1442,] 0.23685006 0.0253767916 9.063140e-04
    ## [1443,] 0.32117502 0.4163379880 1.798991e-01
    ## [1444,] 0.44435820 0.2275981001 3.885821e-02
    ## [1445,] 0.43865597 0.1794501695 2.447048e-02
    ## [1446,] 0.41633799 0.3211750193 8.258786e-02
    ## [1447,] 0.43081384 0.2910904300 6.556091e-02
    ## [1448,] 0.09063140 0.0030210466 3.356718e-05
    ## [1449,] 0.31822950 0.0540389715 3.058810e-03
    ## [1450,] 0.43333138 0.1637029640 2.061445e-02
    ## [1451,] 0.36252559 0.3866939680 1.374912e-01
    ## [1452,] 0.27551945 0.4362391326 2.302373e-01
    ## [1453,] 0.43333138 0.1637029640 2.061445e-02
    ## [1454,] 0.20448709 0.0179374643 5.244873e-04
    ## [1455,] 0.30633413 0.4241549461 1.957638e-01
    ## [1456,] 0.43081384 0.2910904300 6.556091e-02
    ## [1457,] 0.43623913 0.2755194522 5.800410e-02
    ## [1458,] 0.34934628 0.3975319727 1.507880e-01
    ## [1459,] 0.37500000 0.3750000000 1.250000e-01
    ## [1460,] 0.36252559 0.3866939680 1.374912e-01
    ## [1461,] 0.44409385 0.2114732637 3.356718e-02
    ## [1462,] 0.44035531 0.2596967205 5.105149e-02
    ## [1463,] 0.34934628 0.3975319727 1.507880e-01
    ## [1464,] 0.34934628 0.3975319727 1.507880e-01
    ## [1465,] 0.42415495 0.3063341278 7.374710e-02
    ## [1466,] 0.43081384 0.2910904300 6.556091e-02
    ## [1467,] 0.42616898 0.1482326877 1.718640e-02
    ## [1468,] 0.43081384 0.2910904300 6.556091e-02
    ## [1469,] 0.22759810 0.4443581954 2.891855e-01
    ## [1470,] 0.44308684 0.2436977611 4.467792e-02
    ## [1471,] 0.37500000 0.3750000000 1.250000e-01
    ## [1472,] 0.29109043 0.4308138364 2.125348e-01
    ## [1473,] 0.36014652 0.0776786613 5.584740e-03
    ## [1474,] 0.11842503 0.4060286664 4.640328e-01
    ## [1475,] 0.19539878 0.4422182874 3.336033e-01
    ## [1476,] 0.42616898 0.1482326877 1.718640e-02
    ## [1477,] 0.44035531 0.2596967205 5.105149e-02
    ## [1478,] 0.29364573 0.0435030714 2.148300e-03
    ## [1479,] 0.42415495 0.3063341278 7.374710e-02
    ## [1480,] 0.21147326 0.4440938538 3.108657e-01
    ## [1481,] 0.25969672 0.4403553087 2.488965e-01
    ## [1482,] 0.44221829 0.1953987782 2.877966e-02
    ## [1483,] 0.17945017 0.4386559699 3.574234e-01
    ## [1484,] 0.44308684 0.2436977611 4.467792e-02
    ## [1485,] 0.44435820 0.2275981001 3.885821e-02
    ## [1486,] 0.41633799 0.3211750193 8.258786e-02
    ## [1487,] 0.44035531 0.2596967205 5.105149e-02
    ## [1488,] 0.34037125 0.0654560102 4.195898e-03
    ## [1489,] 0.24369776 0.4430868383 2.685375e-01
    ## [1490,] 0.39753197 0.3493462791 1.023338e-01
    ## [1491,] 0.29364573 0.0435030714 2.148300e-03
    ## [1492,] 0.33553758 0.4074384881 1.649156e-01
    ## [1493,] 0.39289970 0.1042386963 9.218388e-03
    ## [1494,] 0.33553758 0.4074384881 1.649156e-01
    ## [1495,] 0.44409385 0.2114732637 3.356718e-02
    ## [1496,] 0.36014652 0.0776786613 5.584740e-03
    ## [1497,] 0.43623913 0.2755194522 5.800410e-02
    ## [1498,] 0.25969672 0.4403553087 2.488965e-01
    ## [1499,] 0.44435820 0.2275981001 3.885821e-02
    ## [1500,] 0.29364573 0.0435030714 2.148300e-03
    ## [1501,] 0.43623913 0.2755194522 5.800410e-02
    ## [1502,] 0.38669397 0.3625255950 1.132892e-01
    ## [1503,] 0.30633413 0.4241549461 1.957638e-01
    ## [1504,] 0.44221829 0.1953987782 2.877966e-02
    ## [1505,] 0.39289970 0.1042386963 9.218388e-03
    ## [1506,] 0.44035531 0.2596967205 5.105149e-02
    ## [1507,] 0.44221829 0.1953987782 2.877966e-02
    ## [1508,] 0.43081384 0.2910904300 6.556091e-02
    ## [1509,] 0.30633413 0.4241549461 1.957638e-01
    ## [1510,] 0.41633799 0.3211750193 8.258786e-02
    ## [1511,] 0.13145329 0.0066840657 1.132892e-04
    ## [1512,] 0.22759810 0.4443581954 2.891855e-01
    ## [1513,] 0.41709325 0.1331148669 1.416116e-02
    ## [1514,] 0.41633799 0.3211750193 8.258786e-02
    ## [1515,] 0.32117502 0.4163379880 1.798991e-01
    ## [1516,] 0.16370296 0.4333313752 3.823512e-01
    ## [1517,] 0.27551945 0.4362391326 2.302373e-01
    ## [1518,] 0.13145329 0.0066840657 1.132892e-04
    ## [1519,] 0.44435820 0.2275981001 3.885821e-02
    ## [1520,] 0.37763083 0.0906313987 7.250512e-03
    ## [1521,] 0.43623913 0.2755194522 5.800410e-02
    ## [1522,] 0.44308684 0.2436977611 4.467792e-02
    ## [1523,] 0.39753197 0.3493462791 1.023338e-01
    ## [1524,] 0.43081384 0.2910904300 6.556091e-02
    ## [1525,] 0.43623913 0.2755194522 5.800410e-02
    ## [1526,] 0.44435820 0.2275981001 3.885821e-02
    ## [1527,] 0.21147326 0.4440938538 3.108657e-01
    ## [1528,] 0.25969672 0.4403553087 2.488965e-01
    ## [1529,] 0.37500000 0.3750000000 1.250000e-01
    ## [1530,] 0.41709325 0.1331148669 1.416116e-02
    ## [1531,] 0.22759810 0.4443581954 2.891855e-01
    ## [1532,] 0.34037125 0.0654560102 4.195898e-03
    ## [1533,] 0.37500000 0.3750000000 1.250000e-01
    ## [1534,] 0.43865597 0.1794501695 2.447048e-02
    ## [1535,] 0.29364573 0.0435030714 2.148300e-03
    ## [1536,] 0.16938001 0.0116813803 2.685375e-04
    ## [1537,] 0.39753197 0.3493462791 1.023338e-01
    ## [1538,] 0.22759810 0.4443581954 2.891855e-01
    ## [1539,] 0.44035531 0.2596967205 5.105149e-02
    ## [1540,] 0.40602867 0.1184250277 1.151354e-02
    ## [1541,] 0.41633799 0.3211750193 8.258786e-02
    ## [1542,] 0.44435820 0.2275981001 3.885821e-02
    ## [1543,] 0.14823269 0.4261689772 4.084119e-01
    ## [1544,] 0.43865597 0.1794501695 2.447048e-02
    ## [1545,] 0.19539878 0.4422182874 3.336033e-01
    ## [1546,] 0.33553758 0.4074384881 1.649156e-01
    ## [1547,] 0.43865597 0.1794501695 2.447048e-02
    ## [1548,] 0.44435820 0.2275981001 3.885821e-02
    ## [1549,] 0.37500000 0.3750000000 1.250000e-01
    ## [1550,] 0.44308684 0.2436977611 4.467792e-02
    ## [1551,] 0.37500000 0.3750000000 1.250000e-01
    ## [1552,] 0.22759810 0.4443581954 2.891855e-01
    ## [1553,] 0.44435820 0.2275981001 3.885821e-02
    ## [1554,] 0.34934628 0.3975319727 1.507880e-01
    ## [1555,] 0.16370296 0.4333313752 3.823512e-01
    ## [1556,] 0.32117502 0.4163379880 1.798991e-01
    ## [1557,] 0.26654443 0.0339238361 1.439193e-03
    ## [1558,] 0.43865597 0.1794501695 2.447048e-02
    ## [1559,] 0.04683881 0.0007678494 4.195898e-06
    ## [1560,] 0.39753197 0.3493462791 1.023338e-01
    ## [1561,] 0.44308684 0.2436977611 4.467792e-02
    ## [1562,] 0.44409385 0.2114732637 3.356718e-02
    ## [1563,] 0.16370296 0.4333313752 3.823512e-01
    ## [1564,] 0.41633799 0.3211750193 8.258786e-02
    ## [1565,] 0.40602867 0.1184250277 1.151354e-02
    ## [1566,] 0.44221829 0.1953987782 2.877966e-02
    ## [1567,] 0.44035531 0.2596967205 5.105149e-02
    ## [1568,] 0.44435820 0.2275981001 3.885821e-02
    ## [1569,] 0.44308684 0.2436977611 4.467792e-02
    ## [1570,] 0.41709325 0.1331148669 1.416116e-02
    ## [1571,] 0.43333138 0.1637029640 2.061445e-02
    ## [1572,] 0.16370296 0.4333313752 3.823512e-01
    ## [1573,] 0.41633799 0.3211750193 8.258786e-02
    ## [1574,] 0.39289970 0.1042386963 9.218388e-03
    ## [1575,] 0.11842503 0.4060286664 4.640328e-01
    ## [1576,] 0.41633799 0.3211750193 8.258786e-02
    ## [1577,] 0.39753197 0.3493462791 1.023338e-01
    ## [1578,] 0.43333138 0.1637029640 2.061445e-02
    ## [1579,] 0.33553758 0.4074384881 1.649156e-01
    ## [1580,] 0.17945017 0.4386559699 3.574234e-01
    ## [1581,] 0.39753197 0.3493462791 1.023338e-01
    ## [1582,] 0.38669397 0.3625255950 1.132892e-01
    ## [1583,] 0.29109043 0.4308138364 2.125348e-01
    ## [1584,] 0.14823269 0.4261689772 4.084119e-01
    ## [1585,] 0.36014652 0.0776786613 5.584740e-03
    ## [1586,] 0.44035531 0.2596967205 5.105149e-02
    ## [1587,] 0.24369776 0.4430868383 2.685375e-01
    ## [1588,] 0.44035531 0.2596967205 5.105149e-02
    ## [1589,] 0.42616898 0.1482326877 1.718640e-02
    ## [1590,] 0.43081384 0.2910904300 6.556091e-02
    ## [1591,] 0.20448709 0.0179374643 5.244873e-04
    ## [1592,] 0.44308684 0.2436977611 4.467792e-02
    ## [1593,] 0.40743849 0.3355375785 9.210835e-02
    ## [1594,] 0.43333138 0.1637029640 2.061445e-02
    ## [1595,] 0.39753197 0.3493462791 1.023338e-01
    ## [1596,] 0.42616898 0.1482326877 1.718640e-02
    ## [1597,] 0.25969672 0.4403553087 2.488965e-01
    ## [1598,] 0.40602867 0.1184250277 1.151354e-02
    ## [1599,] 0.29109043 0.4308138364 2.125348e-01
    ## [1600,] 0.16938001 0.0116813803 2.685375e-04
    ## [1601,] 0.31822950 0.0540389715 3.058810e-03
    ## [1602,] 0.42616898 0.1482326877 1.718640e-02
    ## [1603,] 0.38669397 0.3625255950 1.132892e-01
    ## [1604,] 0.20448709 0.0179374643 5.244873e-04
    ## [1605,] 0.43333138 0.1637029640 2.061445e-02
    ## [1606,] 0.36252559 0.3866939680 1.374912e-01
    ## [1607,] 0.29109043 0.4308138364 2.125348e-01
    ## [1608,] 0.39753197 0.3493462791 1.023338e-01
    ## [1609,] 0.16938001 0.0116813803 2.685375e-04
    ## [1610,] 0.43623913 0.2755194522 5.800410e-02
    ## [1611,] 0.39753197 0.3493462791 1.023338e-01
    ## [1612,] 0.38669397 0.3625255950 1.132892e-01
    ## [1613,] 0.34037125 0.0654560102 4.195898e-03
    ## [1614,] 0.37500000 0.3750000000 1.250000e-01
    ## [1615,] 0.34934628 0.3975319727 1.507880e-01
    ## [1616,] 0.29109043 0.4308138364 2.125348e-01
    ## [1617,] 0.37500000 0.3750000000 1.250000e-01
    ## [1618,] 0.42415495 0.3063341278 7.374710e-02
    ## [1619,] 0.26654443 0.0339238361 1.439193e-03
    ## [1620,] 0.03392384 0.2665444262 6.980925e-01
    ## [1621,] 0.33553758 0.4074384881 1.649156e-01
    ## [1622,] 0.34037125 0.0654560102 4.195898e-03
    ## [1623,] 0.34934628 0.3975319727 1.507880e-01
    ## [1624,] 0.42415495 0.3063341278 7.374710e-02
    ## [1625,] 0.42415495 0.3063341278 7.374710e-02
    ## [1626,] 0.36014652 0.0776786613 5.584740e-03
    ## [1627,] 0.38669397 0.3625255950 1.132892e-01
    ## [1628,] 0.44308684 0.2436977611 4.467792e-02
    ## [1629,] 0.38669397 0.3625255950 1.132892e-01
    ## [1630,] 0.07767866 0.3601465208 5.565901e-01
    ## [1631,] 0.38669397 0.3625255950 1.132892e-01
    ## [1632,] 0.03392384 0.2665444262 6.980925e-01
    ## [1633,] 0.37763083 0.0906313987 7.250512e-03
    ## [1634,] 0.44035531 0.2596967205 5.105149e-02
    ## [1635,] 0.38669397 0.3625255950 1.132892e-01
    ## [1636,] 0.44308684 0.2436977611 4.467792e-02
    ## [1637,] 0.30633413 0.4241549461 1.957638e-01
    ## [1638,] 0.41709325 0.1331148669 1.416116e-02
    ## [1639,] 0.43623913 0.2755194522 5.800410e-02
    ## [1640,] 0.39289970 0.1042386963 9.218388e-03
    ## [1641,] 0.42415495 0.3063341278 7.374710e-02
    ## [1642,] 0.41633799 0.3211750193 8.258786e-02
    ## [1643,] 0.44308684 0.2436977611 4.467792e-02
    ## [1644,] 0.04683881 0.0007678494 4.195898e-06
    ## [1645,] 0.27551945 0.4362391326 2.302373e-01
    ## [1646,] 0.29109043 0.4308138364 2.125348e-01
    ## [1647,] 0.22759810 0.4443581954 2.891855e-01
    ## [1648,] 0.37500000 0.3750000000 1.250000e-01
    ## [1649,] 0.42616898 0.1482326877 1.718640e-02
    ## [1650,] 0.39753197 0.3493462791 1.023338e-01
    ## [1651,] 0.41709325 0.1331148669 1.416116e-02
    ## [1652,] 0.43333138 0.1637029640 2.061445e-02
    ## [1653,] 0.44308684 0.2436977611 4.467792e-02
    ## [1654,] 0.32117502 0.4163379880 1.798991e-01
    ## [1655,] 0.39753197 0.3493462791 1.023338e-01
    ## [1656,] 0.41633799 0.3211750193 8.258786e-02
    ## [1657,] 0.42616898 0.1482326877 1.718640e-02
    ## [1658,] 0.26654443 0.0339238361 1.439193e-03
    ## [1659,] 0.27551945 0.4362391326 2.302373e-01
    ## [1660,] 0.30633413 0.4241549461 1.957638e-01
    ## [1661,] 0.44035531 0.2596967205 5.105149e-02
    ## [1662,] 0.40743849 0.3355375785 9.210835e-02
    ## [1663,] 0.42415495 0.3063341278 7.374710e-02
    ## [1664,] 0.40743849 0.3355375785 9.210835e-02
    ## [1665,] 0.44409385 0.2114732637 3.356718e-02
    ## [1666,] 0.43865597 0.1794501695 2.447048e-02
    ## [1667,] 0.33553758 0.4074384881 1.649156e-01
    ## [1668,] 0.44435820 0.2275981001 3.885821e-02
    ## [1669,] 0.16938001 0.0116813803 2.685375e-04
    ## [1670,] 0.32117502 0.4163379880 1.798991e-01
    ## [1671,] 0.43865597 0.1794501695 2.447048e-02
    ## [1672,] 0.44221829 0.1953987782 2.877966e-02
    ## [1673,] 0.44308684 0.2436977611 4.467792e-02
    ## [1674,] 0.34934628 0.3975319727 1.507880e-01
    ## [1675,] 0.27551945 0.4362391326 2.302373e-01
    ## [1676,] 0.36252559 0.3866939680 1.374912e-01
    ## [1677,] 0.38669397 0.3625255950 1.132892e-01
    ## [1678,] 0.38669397 0.3625255950 1.132892e-01
    ## [1679,] 0.40602867 0.1184250277 1.151354e-02
    ## [1680,] 0.37763083 0.0906313987 7.250512e-03
    ## [1681,] 0.37763083 0.0906313987 7.250512e-03
    ## [1682,] 0.41709325 0.1331148669 1.416116e-02
    ## [1683,] 0.27551945 0.4362391326 2.302373e-01
    ## [1684,] 0.40743849 0.3355375785 9.210835e-02
    ## [1685,] 0.37500000 0.3750000000 1.250000e-01
    ## [1686,] 0.23685006 0.0253767916 9.063140e-04
    ## [1687,] 0.32117502 0.4163379880 1.798991e-01
    ## [1688,] 0.42616898 0.1482326877 1.718640e-02
    ## [1689,] 0.27551945 0.4362391326 2.302373e-01
    ## [1690,] 0.38669397 0.3625255950 1.132892e-01
    ## [1691,] 0.39753197 0.3493462791 1.023338e-01
    ## [1692,] 0.33553758 0.4074384881 1.649156e-01
    ## [1693,] 0.44308684 0.2436977611 4.467792e-02
    ## [1694,] 0.44308684 0.2436977611 4.467792e-02
    ## [1695,] 0.16938001 0.0116813803 2.685375e-04
    ## [1696,] 0.38669397 0.3625255950 1.132892e-01
    ## [1697,] 0.40743849 0.3355375785 9.210835e-02
    ## [1698,] 0.42616898 0.1482326877 1.718640e-02
    ## [1699,] 0.40602867 0.1184250277 1.151354e-02
    ## [1700,] 0.32117502 0.4163379880 1.798991e-01
    ## [1701,] 0.40602867 0.1184250277 1.151354e-02
    ## [1702,] 0.44435820 0.2275981001 3.885821e-02
    ## [1703,] 0.34934628 0.3975319727 1.507880e-01
    ## [1704,] 0.11842503 0.4060286664 4.640328e-01
    ## [1705,] 0.44308684 0.2436977611 4.467792e-02
    ## [1706,] 0.33553758 0.4074384881 1.649156e-01
    ## [1707,] 0.43865597 0.1794501695 2.447048e-02
    ## [1708,] 0.39753197 0.3493462791 1.023338e-01
    ## [1709,] 0.37500000 0.3750000000 1.250000e-01
    ## [1710,] 0.32117502 0.4163379880 1.798991e-01
    ## [1711,] 0.11842503 0.4060286664 4.640328e-01
    ## [1712,] 0.41709325 0.1331148669 1.416116e-02
    ## [1713,] 0.24369776 0.4430868383 2.685375e-01
    ## [1714,] 0.44035531 0.2596967205 5.105149e-02
    ## [1715,] 0.30633413 0.4241549461 1.957638e-01
    ## [1716,] 0.29364573 0.0435030714 2.148300e-03
    ## [1717,] 0.23685006 0.0253767916 9.063140e-04
    ## [1718,] 0.17945017 0.4386559699 3.574234e-01
    ## [1719,] 0.16370296 0.4333313752 3.823512e-01
    ## [1720,] 0.29364573 0.0435030714 2.148300e-03
    ## [1721,] 0.20448709 0.0179374643 5.244873e-04
    ## [1722,] 0.39289970 0.1042386963 9.218388e-03
    ## [1723,] 0.43081384 0.2910904300 6.556091e-02
    ## [1724,] 0.38669397 0.3625255950 1.132892e-01
    ## [1725,] 0.41633799 0.3211750193 8.258786e-02
    ## [1726,] 0.38669397 0.3625255950 1.132892e-01
    ## [1727,] 0.16370296 0.4333313752 3.823512e-01
    ## [1728,] 0.07767866 0.3601465208 5.565901e-01
    ## [1729,] 0.39289970 0.1042386963 9.218388e-03
    ## [1730,] 0.44409385 0.2114732637 3.356718e-02
    ## [1731,] 0.43081384 0.2910904300 6.556091e-02
    ## [1732,] 0.04683881 0.0007678494 4.195898e-06
    ## [1733,] 0.29364573 0.0435030714 2.148300e-03
    ## [1734,] 0.44221829 0.1953987782 2.877966e-02
    ## [1735,] 0.37763083 0.0906313987 7.250512e-03
    ## [1736,] 0.13311487 0.4170932496 4.356307e-01
    ## [1737,] 0.30633413 0.4241549461 1.957638e-01
    ## [1738,] 0.27551945 0.4362391326 2.302373e-01
    ## [1739,] 0.38669397 0.3625255950 1.132892e-01
    ## [1740,] 0.44221829 0.1953987782 2.877966e-02
    ## [1741,] 0.40743849 0.3355375785 9.210835e-02
    ## [1742,] 0.44221829 0.1953987782 2.877966e-02
    ## [1743,] 0.24369776 0.4430868383 2.685375e-01
    ## [1744,] 0.33553758 0.4074384881 1.649156e-01
    ## [1745,] 0.41633799 0.3211750193 8.258786e-02
    ## [1746,] 0.34934628 0.3975319727 1.507880e-01
    ## [1747,] 0.36252559 0.3866939680 1.374912e-01
    ## [1748,] 0.43623913 0.2755194522 5.800410e-02
    ## [1749,] 0.40743849 0.3355375785 9.210835e-02
    ## [1750,] 0.43081384 0.2910904300 6.556091e-02
    ## [1751,] 0.39753197 0.3493462791 1.023338e-01
    ## [1752,] 0.42415495 0.3063341278 7.374710e-02
    ## [1753,] 0.43865597 0.1794501695 2.447048e-02
    ## [1754,] 0.36014652 0.0776786613 5.584740e-03
    ## [1755,] 0.44308684 0.2436977611 4.467792e-02
    ## [1756,] 0.09063140 0.0030210466 3.356718e-05
    ## [1757,] 0.40602867 0.1184250277 1.151354e-02
    ## [1758,] 0.34037125 0.0654560102 4.195898e-03
    ## [1759,] 0.44035531 0.2596967205 5.105149e-02
    ## [1760,] 0.30633413 0.4241549461 1.957638e-01
    ## [1761,] 0.04683881 0.0007678494 4.195898e-06
    ## [1762,] 0.22759810 0.4443581954 2.891855e-01
    ## [1763,] 0.37763083 0.0906313987 7.250512e-03
    ## [1764,] 0.23685006 0.0253767916 9.063140e-04
    ## [1765,] 0.29364573 0.0435030714 2.148300e-03
    ## [1766,] 0.44435820 0.2275981001 3.885821e-02
    ## [1767,] 0.38669397 0.3625255950 1.132892e-01
    ## [1768,] 0.43623913 0.2755194522 5.800410e-02
    ## [1769,] 0.42415495 0.3063341278 7.374710e-02
    ## [1770,] 0.26654443 0.0339238361 1.439193e-03
    ## [1771,] 0.40743849 0.3355375785 9.210835e-02
    ## [1772,] 0.33553758 0.4074384881 1.649156e-01
    ## [1773,] 0.41709325 0.1331148669 1.416116e-02
    ## [1774,] 0.44409385 0.2114732637 3.356718e-02
    ## [1775,] 0.36014652 0.0776786613 5.584740e-03
    ## [1776,] 0.25969672 0.4403553087 2.488965e-01
    ## [1777,] 0.36252559 0.3866939680 1.374912e-01
    ## [1778,] 0.20448709 0.0179374643 5.244873e-04
    ## [1779,] 0.40743849 0.3355375785 9.210835e-02
    ## [1780,] 0.19539878 0.4422182874 3.336033e-01
    ## [1781,] 0.22759810 0.4443581954 2.891855e-01
    ## [1782,] 0.25969672 0.4403553087 2.488965e-01
    ## [1783,] 0.26654443 0.0339238361 1.439193e-03
    ## [1784,] 0.33553758 0.4074384881 1.649156e-01
    ## [1785,] 0.42415495 0.3063341278 7.374710e-02
    ## [1786,] 0.44308684 0.2436977611 4.467792e-02
    ## [1787,] 0.43081384 0.2910904300 6.556091e-02
    ## [1788,] 0.34934628 0.3975319727 1.507880e-01
    ## [1789,] 0.43623913 0.2755194522 5.800410e-02
    ## [1790,] 0.34037125 0.0654560102 4.195898e-03
    ## [1791,] 0.30633413 0.4241549461 1.957638e-01
    ## [1792,] 0.42616898 0.1482326877 1.718640e-02
    ## [1793,] 0.36252559 0.3866939680 1.374912e-01
    ## [1794,] 0.43865597 0.1794501695 2.447048e-02
    ## [1795,] 0.05403897 0.3182294988 6.246727e-01
    ## [1796,] 0.39289970 0.1042386963 9.218388e-03
    ## [1797,] 0.09063140 0.0030210466 3.356718e-05
    ## [1798,] 0.20448709 0.0179374643 5.244873e-04
    ## [1799,] 0.44035531 0.2596967205 5.105149e-02
    ## [1800,] 0.31822950 0.0540389715 3.058810e-03
    ## [1801,] 0.36014652 0.0776786613 5.584740e-03
    ## [1802,] 0.44035531 0.2596967205 5.105149e-02
    ## [1803,] 0.44035531 0.2596967205 5.105149e-02
    ## [1804,] 0.16938001 0.0116813803 2.685375e-04
    ## [1805,] 0.44435820 0.2275981001 3.885821e-02
    ## [1806,] 0.37500000 0.3750000000 1.250000e-01
    ## [1807,] 0.44409385 0.2114732637 3.356718e-02
    ## [1808,] 0.29109043 0.4308138364 2.125348e-01
    ## [1809,] 0.33553758 0.4074384881 1.649156e-01
    ## [1810,] 0.37763083 0.0906313987 7.250512e-03
    ## [1811,] 0.27551945 0.4362391326 2.302373e-01
    ## [1812,] 0.40743849 0.3355375785 9.210835e-02
    ## [1813,] 0.43081384 0.2910904300 6.556091e-02
    ## [1814,] 0.09063140 0.3776308281 5.244873e-01
    ## [1815,] 0.33553758 0.4074384881 1.649156e-01
    ## [1816,] 0.44435820 0.2275981001 3.885821e-02
    ## [1817,] 0.11842503 0.4060286664 4.640328e-01
    ## [1818,] 0.37763083 0.0906313987 7.250512e-03
    ## [1819,] 0.37763083 0.0906313987 7.250512e-03
    ## [1820,] 0.30633413 0.4241549461 1.957638e-01
    ## [1821,] 0.32117502 0.4163379880 1.798991e-01
    ## [1822,] 0.39289970 0.1042386963 9.218388e-03
    ## [1823,] 0.00000000 0.0000000000 0.000000e+00
    ## [1824,] 0.44435820 0.2275981001 3.885821e-02
    ## [1825,] 0.44308684 0.2436977611 4.467792e-02
    ## [1826,] 0.44221829 0.1953987782 2.877966e-02
    ## [1827,] 0.23685006 0.0253767916 9.063140e-04
    ## [1828,] 0.31822950 0.0540389715 3.058810e-03
    ## [1829,] 0.42415495 0.3063341278 7.374710e-02
    ## [1830,] 0.40743849 0.3355375785 9.210835e-02
    ## [1831,] 0.44308684 0.2436977611 4.467792e-02
    ## [1832,] 0.44435820 0.2275981001 3.885821e-02
    ## [1833,] 0.43623913 0.2755194522 5.800410e-02
    ## [1834,] 0.44221829 0.1953987782 2.877966e-02
    ## [1835,] 0.24369776 0.4430868383 2.685375e-01
    ## [1836,] 0.44308684 0.2436977611 4.467792e-02
    ## [1837,] 0.31822950 0.0540389715 3.058810e-03
    ## [1838,] 0.39289970 0.1042386963 9.218388e-03
    ## [1839,] 0.44409385 0.2114732637 3.356718e-02
    ## [1840,] 0.42616898 0.1482326877 1.718640e-02
    ## [1841,] 0.44035531 0.2596967205 5.105149e-02
    ## [1842,] 0.09063140 0.0030210466 3.356718e-05
    ## [1843,] 0.34037125 0.0654560102 4.195898e-03
    ## [1844,] 0.41709325 0.1331148669 1.416116e-02
    ## [1845,] 0.43081384 0.2910904300 6.556091e-02
    ## [1846,] 0.29109043 0.4308138364 2.125348e-01
    ## [1847,] 0.44221829 0.1953987782 2.877966e-02
    ## [1848,] 0.26654443 0.0339238361 1.439193e-03
    ## [1849,] 0.41633799 0.3211750193 8.258786e-02
    ## [1850,] 0.44308684 0.2436977611 4.467792e-02
    ## [1851,] 0.43081384 0.2910904300 6.556091e-02
    ## [1852,] 0.44409385 0.2114732637 3.356718e-02
    ## [1853,] 0.42415495 0.3063341278 7.374710e-02
    ## [1854,] 0.04683881 0.0007678494 4.195898e-06
    ## [1855,] 0.29364573 0.0435030714 2.148300e-03
    ## [1856,] 0.30633413 0.4241549461 1.957638e-01
    ## [1857,] 0.37500000 0.3750000000 1.250000e-01
    ## [1858,] 0.43333138 0.1637029640 2.061445e-02
    ## [1859,] 0.42616898 0.1482326877 1.718640e-02
    ## [1860,] 0.21147326 0.4440938538 3.108657e-01
    ## [1861,] 0.39289970 0.1042386963 9.218388e-03
    ## [1862,] 0.39753197 0.3493462791 1.023338e-01
    ## [1863,] 0.38669397 0.3625255950 1.132892e-01
    ## [1864,] 0.38669397 0.3625255950 1.132892e-01
    ## [1865,] 0.43333138 0.1637029640 2.061445e-02
    ## [1866,] 0.29109043 0.4308138364 2.125348e-01
    ## [1867,] 0.43333138 0.1637029640 2.061445e-02
    ## [1868,] 0.44221829 0.1953987782 2.877966e-02
    ## [1869,] 0.33553758 0.4074384881 1.649156e-01
    ## [1870,] 0.39753197 0.3493462791 1.023338e-01
    ## [1871,] 0.29364573 0.0435030714 2.148300e-03
    ## [1872,] 0.44035531 0.2596967205 5.105149e-02
    ## [1873,] 0.16938001 0.0116813803 2.685375e-04
    ## [1874,] 0.01168138 0.1693800141 8.186701e-01
    ## [1875,] 0.40743849 0.3355375785 9.210835e-02
    ## [1876,] 0.44435820 0.2275981001 3.885821e-02
    ## [1877,] 0.44435820 0.2275981001 3.885821e-02
    ## [1878,] 0.20448709 0.0179374643 5.244873e-04
    ## [1879,] 0.37500000 0.3750000000 1.250000e-01
    ## [1880,] 0.09063140 0.0030210466 3.356718e-05
    ## [1881,] 0.40743849 0.3355375785 9.210835e-02
    ## [1882,] 0.43081384 0.2910904300 6.556091e-02
    ## [1883,] 0.16370296 0.4333313752 3.823512e-01
    ## [1884,] 0.42415495 0.3063341278 7.374710e-02
    ## [1885,] 0.24369776 0.4430868383 2.685375e-01
    ## [1886,] 0.36252559 0.3866939680 1.374912e-01
    ## [1887,] 0.43333138 0.1637029640 2.061445e-02
    ## [1888,] 0.44409385 0.2114732637 3.356718e-02
    ## [1889,] 0.43865597 0.1794501695 2.447048e-02
    ## [1890,] 0.27551945 0.4362391326 2.302373e-01
    ## [1891,] 0.29364573 0.0435030714 2.148300e-03
    ## [1892,] 0.29364573 0.0435030714 2.148300e-03
    ## [1893,] 0.39753197 0.3493462791 1.023338e-01
    ## [1894,] 0.26654443 0.0339238361 1.439193e-03
    ## [1895,] 0.25969672 0.4403553087 2.488965e-01
    ## [1896,] 0.42415495 0.3063341278 7.374710e-02
    ## [1897,] 0.36014652 0.0776786613 5.584740e-03
    ## [1898,] 0.44221829 0.1953987782 2.877966e-02
    ## [1899,] 0.10423870 0.3928997013 4.936432e-01
    ## [1900,] 0.42616898 0.1482326877 1.718640e-02
    ## [1901,] 0.44409385 0.2114732637 3.356718e-02
    ## [1902,] 0.29109043 0.4308138364 2.125348e-01
    ## [1903,] 0.31822950 0.0540389715 3.058810e-03
    ## [1904,] 0.29109043 0.4308138364 2.125348e-01
    ## [1905,] 0.37500000 0.3750000000 1.250000e-01
    ## [1906,] 0.43623913 0.2755194522 5.800410e-02
    ## [1907,] 0.44435820 0.2275981001 3.885821e-02
    ## [1908,] 0.40602867 0.1184250277 1.151354e-02
    ## [1909,] 0.44435820 0.2275981001 3.885821e-02
    ## [1910,] 0.36252559 0.3866939680 1.374912e-01
    ## [1911,] 0.44308684 0.2436977611 4.467792e-02
    ## [1912,] 0.32117502 0.4163379880 1.798991e-01
    ## [1913,] 0.30633413 0.4241549461 1.957638e-01
    ## [1914,] 0.34934628 0.3975319727 1.507880e-01
    ## [1915,] 0.41709325 0.1331148669 1.416116e-02
    ## [1916,] 0.37763083 0.0906313987 7.250512e-03
    ## [1917,] 0.44308684 0.2436977611 4.467792e-02
    ## [1918,] 0.37500000 0.3750000000 1.250000e-01
    ## [1919,] 0.42415495 0.3063341278 7.374710e-02
    ## [1920,] 0.40602867 0.1184250277 1.151354e-02
    ## [1921,] 0.42616898 0.1482326877 1.718640e-02
    ## [1922,] 0.43865597 0.1794501695 2.447048e-02
    ## [1923,] 0.34934628 0.3975319727 1.507880e-01
    ## [1924,] 0.43623913 0.2755194522 5.800410e-02
    ## [1925,] 0.21147326 0.4440938538 3.108657e-01
    ## [1926,] 0.43865597 0.1794501695 2.447048e-02
    ## [1927,] 0.39753197 0.3493462791 1.023338e-01
    ## [1928,] 0.21147326 0.4440938538 3.108657e-01
    ## [1929,] 0.16938001 0.0116813803 2.685375e-04
    ## [1930,] 0.27551945 0.4362391326 2.302373e-01
    ## [1931,] 0.41633799 0.3211750193 8.258786e-02
    ## [1932,] 0.33553758 0.4074384881 1.649156e-01
    ## [1933,] 0.37763083 0.0906313987 7.250512e-03
    ## [1934,] 0.20448709 0.0179374643 5.244873e-04
    ## [1935,] 0.38669397 0.3625255950 1.132892e-01
    ## [1936,] 0.42415495 0.3063341278 7.374710e-02
    ## [1937,] 0.17945017 0.4386559699 3.574234e-01
    ## [1938,] 0.41709325 0.1331148669 1.416116e-02
    ## [1939,] 0.34934628 0.3975319727 1.507880e-01
    ## [1940,] 0.34934628 0.3975319727 1.507880e-01
    ## [1941,] 0.39753197 0.3493462791 1.023338e-01
    ## [1942,] 0.42616898 0.1482326877 1.718640e-02
    ## [1943,] 0.43081384 0.2910904300 6.556091e-02
    ## [1944,] 0.22759810 0.4443581954 2.891855e-01
    ## [1945,] 0.32117502 0.4163379880 1.798991e-01
    ## [1946,] 0.40602867 0.1184250277 1.151354e-02
    ## [1947,] 0.38669397 0.3625255950 1.132892e-01
    ## [1948,] 0.44221829 0.1953987782 2.877966e-02
    ## [1949,] 0.09063140 0.0030210466 3.356718e-05
    ## [1950,] 0.40602867 0.1184250277 1.151354e-02
    ## [1951,] 0.44308684 0.2436977611 4.467792e-02
    ## [1952,] 0.38669397 0.3625255950 1.132892e-01
    ## [1953,] 0.27551945 0.4362391326 2.302373e-01
    ## [1954,] 0.29109043 0.4308138364 2.125348e-01
    ## [1955,] 0.44409385 0.2114732637 3.356718e-02
    ## [1956,] 0.33553758 0.4074384881 1.649156e-01
    ## [1957,] 0.36014652 0.0776786613 5.584740e-03
    ## [1958,] 0.41633799 0.3211750193 8.258786e-02
    ## [1959,] 0.36252559 0.3866939680 1.374912e-01
    ## [1960,] 0.36252559 0.3866939680 1.374912e-01
    ## [1961,] 0.25969672 0.4403553087 2.488965e-01
    ## [1962,] 0.37763083 0.0906313987 7.250512e-03
    ## [1963,] 0.27551945 0.4362391326 2.302373e-01
    ## [1964,] 0.43081384 0.2910904300 6.556091e-02
    ## [1965,] 0.43081384 0.2910904300 6.556091e-02
    ## [1966,] 0.36252559 0.3866939680 1.374912e-01
    ## [1967,] 0.34934628 0.3975319727 1.507880e-01
    ## [1968,] 0.30633413 0.4241549461 1.957638e-01
    ## [1969,] 0.29109043 0.4308138364 2.125348e-01
    ## [1970,] 0.41633799 0.3211750193 8.258786e-02
    ## [1971,] 0.30633413 0.4241549461 1.957638e-01
    ## [1972,] 0.20448709 0.0179374643 5.244873e-04
    ## [1973,] 0.02537679 0.2368500554 7.368668e-01
    ## [1974,] 0.26654443 0.0339238361 1.439193e-03
    ## [1975,] 0.41633799 0.3211750193 8.258786e-02
    ## [1976,] 0.29109043 0.4308138364 2.125348e-01
    ## [1977,] 0.11842503 0.4060286664 4.640328e-01
    ## [1978,] 0.39753197 0.3493462791 1.023338e-01
    ## [1979,] 0.43865597 0.1794501695 2.447048e-02
    ## [1980,] 0.16370296 0.4333313752 3.823512e-01
    ## [1981,] 0.42415495 0.3063341278 7.374710e-02
    ## [1982,] 0.44221829 0.1953987782 2.877966e-02
    ## [1983,] 0.40602867 0.1184250277 1.151354e-02
    ## [1984,] 0.43081384 0.2910904300 6.556091e-02
    ## [1985,] 0.44221829 0.1953987782 2.877966e-02
    ## [1986,] 0.44435820 0.2275981001 3.885821e-02
    ## [1987,] 0.41633799 0.3211750193 8.258786e-02
    ## [1988,] 0.34934628 0.3975319727 1.507880e-01
    ## [1989,] 0.33553758 0.4074384881 1.649156e-01
    ## [1990,] 0.43081384 0.2910904300 6.556091e-02
    ## [1991,] 0.33553758 0.4074384881 1.649156e-01
    ## [1992,] 0.30633413 0.4241549461 1.957638e-01
    ## [1993,] 0.34037125 0.0654560102 4.195898e-03
    ## [1994,] 0.34037125 0.0654560102 4.195898e-03
    ## [1995,] 0.03392384 0.2665444262 6.980925e-01
    ## [1996,] 0.39289970 0.1042386963 9.218388e-03
    ## [1997,] 0.36014652 0.0776786613 5.584740e-03
    ## [1998,] 0.44308684 0.2436977611 4.467792e-02
    ## [1999,] 0.43623913 0.2755194522 5.800410e-02
    ## [2000,] 0.44308684 0.2436977611 4.467792e-02
    ## [2001,] 0.39753197 0.3493462791 1.023338e-01
    ## [2002,] 0.10423870 0.3928997013 4.936432e-01
    ## [2003,] 0.44308684 0.2436977611 4.467792e-02
    ## [2004,] 0.41709325 0.1331148669 1.416116e-02
    ## [2005,] 0.40602867 0.1184250277 1.151354e-02
    ## [2006,] 0.31822950 0.0540389715 3.058810e-03
    ## [2007,] 0.43865597 0.1794501695 2.447048e-02
    ## [2008,] 0.38669397 0.3625255950 1.132892e-01
    ## [2009,] 0.27551945 0.4362391326 2.302373e-01
    ## [2010,] 0.23685006 0.0253767916 9.063140e-04
    ## [2011,] 0.32117502 0.4163379880 1.798991e-01
    ## [2012,] 0.19539878 0.4422182874 3.336033e-01
    ## [2013,] 0.44409385 0.2114732637 3.356718e-02
    ## [2014,] 0.06545601 0.3403712531 5.899768e-01
    ## [2015,] 0.23685006 0.0253767916 9.063140e-04
    ## [2016,] 0.16938001 0.0116813803 2.685375e-04
    ## [2017,] 0.44409385 0.2114732637 3.356718e-02
    ## [2018,] 0.36014652 0.0776786613 5.584740e-03
    ## [2019,] 0.37763083 0.0906313987 7.250512e-03
    ## [2020,] 0.37500000 0.3750000000 1.250000e-01
    ## [2021,] 0.44308684 0.2436977611 4.467792e-02
    ## [2022,] 0.40602867 0.1184250277 1.151354e-02
    ## [2023,] 0.41709325 0.1331148669 1.416116e-02
    ## [2024,] 0.44308684 0.2436977611 4.467792e-02
    ## [2025,] 0.26654443 0.0339238361 1.439193e-03
    ## [2026,] 0.43865597 0.1794501695 2.447048e-02
    ## [2027,] 0.40743849 0.3355375785 9.210835e-02
    ## [2028,] 0.43623913 0.2755194522 5.800410e-02
    ## [2029,] 0.22759810 0.4443581954 2.891855e-01
    ## [2030,] 0.37763083 0.0906313987 7.250512e-03
    ## [2031,] 0.30633413 0.4241549461 1.957638e-01
    ## [2032,] 0.39289970 0.1042386963 9.218388e-03
    ## [2033,] 0.42616898 0.1482326877 1.718640e-02
    ## [2034,] 0.39753197 0.3493462791 1.023338e-01
    ## [2035,] 0.44308684 0.2436977611 4.467792e-02
    ## [2036,] 0.36014652 0.0776786613 5.584740e-03
    ## [2037,] 0.24369776 0.4430868383 2.685375e-01
    ## [2038,] 0.44035531 0.2596967205 5.105149e-02
    ## [2039,] 0.27551945 0.4362391326 2.302373e-01
    ## [2040,] 0.44221829 0.1953987782 2.877966e-02
    ## [2041,] 0.37763083 0.0906313987 7.250512e-03
    ## [2042,] 0.44308684 0.2436977611 4.467792e-02
    ## [2043,] 0.30633413 0.4241549461 1.957638e-01
    ## [2044,] 0.44221829 0.1953987782 2.877966e-02
    ## [2045,] 0.44435820 0.2275981001 3.885821e-02
    ## [2046,] 0.34934628 0.3975319727 1.507880e-01
    ## [2047,] 0.39753197 0.3493462791 1.023338e-01
    ## [2048,] 0.34037125 0.0654560102 4.195898e-03
    ## [2049,] 0.13311487 0.4170932496 4.356307e-01
    ## [2050,] 0.43623913 0.2755194522 5.800410e-02
    ## [2051,] 0.24369776 0.4430868383 2.685375e-01
    ## [2052,] 0.40602867 0.1184250277 1.151354e-02
    ## [2053,] 0.44435820 0.2275981001 3.885821e-02
    ## [2054,] 0.44409385 0.2114732637 3.356718e-02
    ## [2055,] 0.38669397 0.3625255950 1.132892e-01
    ## [2056,] 0.39753197 0.3493462791 1.023338e-01
    ## [2057,] 0.44308684 0.2436977611 4.467792e-02
    ## [2058,] 0.43623913 0.2755194522 5.800410e-02
    ## [2059,] 0.37763083 0.0906313987 7.250512e-03
    ## [2060,] 0.36014652 0.0776786613 5.584740e-03
    ## [2061,] 0.32117502 0.4163379880 1.798991e-01
    ## [2062,] 0.44221829 0.1953987782 2.877966e-02
    ## [2063,] 0.38669397 0.3625255950 1.132892e-01
    ## [2064,] 0.42415495 0.3063341278 7.374710e-02
    ## [2065,] 0.26654443 0.0339238361 1.439193e-03
    ## [2066,] 0.34934628 0.3975319727 1.507880e-01
    ## [2067,] 0.26654443 0.0339238361 1.439193e-03
    ## [2068,] 0.36252559 0.3866939680 1.374912e-01
    ## [2069,] 0.42616898 0.1482326877 1.718640e-02
    ## [2070,] 0.44308684 0.2436977611 4.467792e-02
    ## [2071,] 0.42616898 0.1482326877 1.718640e-02
    ## [2072,] 0.25969672 0.4403553087 2.488965e-01
    ## [2073,] 0.43623913 0.2755194522 5.800410e-02
    ## [2074,] 0.37763083 0.0906313987 7.250512e-03
    ## [2075,] 0.44221829 0.1953987782 2.877966e-02
    ## [2076,] 0.36252559 0.3866939680 1.374912e-01
    ## [2077,] 0.29364573 0.0435030714 2.148300e-03
    ## [2078,] 0.22759810 0.4443581954 2.891855e-01
    ## [2079,] 0.36014652 0.0776786613 5.584740e-03
    ## [2080,] 0.16938001 0.0116813803 2.685375e-04
    ## [2081,] 0.30633413 0.4241549461 1.957638e-01
    ## [2082,] 0.40743849 0.3355375785 9.210835e-02
    ## [2083,] 0.34934628 0.3975319727 1.507880e-01
    ## [2084,] 0.43333138 0.1637029640 2.061445e-02
    ## [2085,] 0.19539878 0.4422182874 3.336033e-01
    ## [2086,] 0.44308684 0.2436977611 4.467792e-02
    ## [2087,] 0.33553758 0.4074384881 1.649156e-01
    ## [2088,] 0.44308684 0.2436977611 4.467792e-02
    ## [2089,] 0.27551945 0.4362391326 2.302373e-01
    ## [2090,] 0.44435820 0.2275981001 3.885821e-02
    ## [2091,] 0.37763083 0.0906313987 7.250512e-03
    ## [2092,] 0.41709325 0.1331148669 1.416116e-02
    ## [2093,] 0.40602867 0.1184250277 1.151354e-02
    ## [2094,] 0.36252559 0.3866939680 1.374912e-01
    ## [2095,] 0.29364573 0.0435030714 2.148300e-03
    ## [2096,] 0.43333138 0.1637029640 2.061445e-02
    ## [2097,] 0.39289970 0.1042386963 9.218388e-03
    ## [2098,] 0.42415495 0.3063341278 7.374710e-02
    ## [2099,] 0.37763083 0.0906313987 7.250512e-03
    ## [2100,] 0.31822950 0.0540389715 3.058810e-03
    ## [2101,] 0.31822950 0.0540389715 3.058810e-03
    ## [2102,] 0.29109043 0.4308138364 2.125348e-01
    ## attr(,"degree")
    ## [1] 3
    ## attr(,"knots")
    ## numeric(0)
    ## attr(,"Boundary.knots")
    ## [1] 18 80
    ## attr(,"intercept")
    ## [1] FALSE
    ## attr(,"class")
    ## [1] "bs"     "basis"  "matrix"

PCA (Principal Components Analysis), mostly useful for linear-type models

  1. Find features which are correlated

which() returns the list of features with correlation > 0.8

library(caret)
library(kernlab)
data(spam)
set.seed(1)
inTrain<-createDataPartition(y=spam$type,p=0.75,list=FALSE)
training<-spam[inTrain,]
testing<-spam[-inTrain,]

M<-abs(cor(training[,-58]))
diag(M)<-0
which(M>0.8,arr.ind=T)
##        row col
## num415  34  32
## direct  40  32
## num857  32  34
## direct  40  34
## num857  32  40
## num415  34  40

Take a look at the correlated features:

  names(spam)[c(34,32,40)]
## [1] "num415" "num857" "direct"
  plot(spam[,34],spam[,32])

Apply PCA in R: prcomp()

smallSpam<-spam[,c(34,32)]
prComp<-prcomp(smallSpam)
plot(prComp$x[,1],prComp$x[,2])

prComp$rotation
##              PC1        PC2
## num415 0.7080625  0.7061498
## num857 0.7061498 -0.7080625

#### PCA on spam data

typeColor<-((spam$type=="spam")*1+1)
prComp<-prcomp(log10(spam[,-58]+1))
plot(prComp$x[,1],prComp$x[,2],col=typeColor,xlab="PC1",ylab="PC2")

#### PCA with caret, preProcess()

preProc<-preProcess(log10(spam[,-58]+1),method="pca",pcaComp = 2)
spamPC<-predict(preProc,log10(spam[,-58]+1))
plot(spamPC[,1],spamPC[,2],col=typeColor)

#### Preprocessing with PCA to create model based on the training set

preProc<-preProcess(log10(training[,-58]+1),method="pca",pcaComp=2)
trainPC<-predict(preProc,log10(training[,-58]+1))
modelFit <- train(x = trainPC, y = training$type,method="glm")

#### Preprocessing with PCA to use on the testing set Note that we should use the same PCA procedure (preProc) when using predict() on the testing set

testPC<-predict(preProc,log10(testing[,-58]+1))
confusionMatrix(testing$type,predict(modelFit,testPC))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction nonspam spam
##    nonspam     654   43
##    spam         69  384
##                                          
##                Accuracy : 0.9026         
##                  95% CI : (0.884, 0.9191)
##     No Information Rate : 0.6287         
##     P-Value [Acc > NIR] : < 2e-16        
##                                          
##                   Kappa : 0.794          
##  Mcnemar's Test P-Value : 0.01816        
##                                          
##             Sensitivity : 0.9046         
##             Specificity : 0.8993         
##          Pos Pred Value : 0.9383         
##          Neg Pred Value : 0.8477         
##              Prevalence : 0.6287         
##          Detection Rate : 0.5687         
##    Detection Prevalence : 0.6061         
##       Balanced Accuracy : 0.9019         
##                                          
##        'Positive' Class : nonspam        
## 

Accuracy is > 0.9!

#### Alternative: preProcess with PCA during the training process (instead of doing PCA first, then do the training)

modelFit <- train(x = trainPC, y = training$type,method="glm",preProcess="pca")
confusionMatrix(testing$type,predict(modelFit,testPC))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction nonspam spam
##    nonspam     697    0
##    spam        453    0
##                                           
##                Accuracy : 0.6061          
##                  95% CI : (0.5772, 0.6345)
##     No Information Rate : 1               
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0               
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6061          
##             Specificity :     NA          
##          Pos Pred Value :     NA          
##          Neg Pred Value :     NA          
##              Prevalence : 1.0000          
##          Detection Rate : 0.6061          
##    Detection Prevalence : 0.6061          
##       Balanced Accuracy :     NA          
##                                           
##        'Positive' Class : nonspam         
## 

Predicting with Regression

Use the fainthful eruption data in caret

library(caret)
data(faithful)
set.seed(333)
inTrain<-createDataPartition(y=faithful$waiting,p=0.5,list=FALSE)
trainFaith<-faithful[inTrain,]
testFaith<-faithful[-inTrain,]
head(trainFaith)
##   eruptions waiting
## 1     3.600      79
## 3     3.333      74
## 5     4.533      85
## 6     2.883      55
## 7     4.700      88
## 8     3.600      85

Plot eruption duration vs. waiting time.

You can see that there’s a roughly linear relationship between the two variables.

plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",xlab="waiting",ylab="eruption duration")

Fit a linear regression model

lm1<-lm(eruptions~waiting,data=trainFaith)
summary(lm1)
## 
## Call:
## lm(formula = eruptions ~ waiting, data = trainFaith)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.26990 -0.34789  0.03979  0.36589  1.05020 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.792739   0.227869  -7.867 1.04e-12 ***
## waiting      0.073901   0.003148  23.474  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.495 on 135 degrees of freedom
## Multiple R-squared:  0.8032, Adjusted R-squared:  0.8018 
## F-statistic:   551 on 1 and 135 DF,  p-value: < 2.2e-16

Plot the model fit

plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",xlab="waiting",ylab="eruption duration")
lines(trainFaith$waiting,lm1$fitted,lwd=3)

Predicting a new value with the linear regression model

When waiting time = 80

newdata<-data.frame(waiting=80)
predict(lm1,newdata)
##        1 
## 4.119307

Plot predictions - training vs testing set

par(mfrow=c(1,2))
# training
plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",main="training",xlab="waiting",ylab="eruption duration")
lines(trainFaith$waiting,predict(lm1),lwd=3)
# testing
plot(testFaith$waiting,testFaith$eruptions,pch=19,col="blue",main="testing",xlab="waiting",ylab="eruption duration")
lines(testFaith$waiting,predict(lm1,newdata=testFaith),lwd=3)

Get training & testing errors

# RMSE on training
sqrt(sum((lm1$fitted-trainFaith$eruptions)^2))
## [1] 5.75186
# RMSE on testing
sqrt(sum((predict(lm1,newdata=testFaith)-testFaith$eruptions)^2))
## [1] 5.838559

Prediction intervals

pred1<-predict(lm1,newdata=testFaith,interval="prediction")
ord<-order(testFaith$waiting)
plot(testFaith$waiting,testFaith$eruptions,pch=19,col="blue")
matlines(testFaith$waiting[ord],pred1[ord,],type="l",col=c(1,2,2),lty=c(1,1,1),lwd=3)

Same process with caret

modFit<-train(eruptions~waiting,data=trainFaith,method="lm")
summary(modFit$finalModel)
## 
## Call:
## lm(formula = .outcome ~ ., data = dat)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.26990 -0.34789  0.03979  0.36589  1.05020 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.792739   0.227869  -7.867 1.04e-12 ***
## waiting      0.073901   0.003148  23.474  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.495 on 135 degrees of freedom
## Multiple R-squared:  0.8032, Adjusted R-squared:  0.8018 
## F-statistic:   551 on 1 and 135 DF,  p-value: < 2.2e-16

Predicting with regression, multiple covariates

Use the wages dataset in ISLR package

library(ISLR)
library(ggplot2)
library(caret)
data(Wage)
Wage<-subset(Wage,select=-c(logwage))
summary(Wage)
##       year           age                     maritl           race     
##  Min.   :2003   Min.   :18.00   1. Never Married: 648   1. White:2480  
##  1st Qu.:2004   1st Qu.:33.75   2. Married      :2074   2. Black: 293  
##  Median :2006   Median :42.00   3. Widowed      :  19   3. Asian: 190  
##  Mean   :2006   Mean   :42.41   4. Divorced     : 204   4. Other:  37  
##  3rd Qu.:2008   3rd Qu.:51.00   5. Separated    :  55                  
##  Max.   :2009   Max.   :80.00                                          
##                                                                        
##               education                     region    
##  1. < HS Grad      :268   2. Middle Atlantic   :3000  
##  2. HS Grad        :971   1. New England       :   0  
##  3. Some College   :650   3. East North Central:   0  
##  4. College Grad   :685   4. West North Central:   0  
##  5. Advanced Degree:426   5. South Atlantic    :   0  
##                           6. East South Central:   0  
##                           (Other)              :   0  
##            jobclass               health      health_ins  
##  1. Industrial :1544   1. <=Good     : 858   1. Yes:2083  
##  2. Information:1456   2. >=Very Good:2142   2. No : 917  
##                                                           
##                                                           
##                                                           
##                                                           
##                                                           
##       wage       
##  Min.   : 20.09  
##  1st Qu.: 85.38  
##  Median :104.92  
##  Mean   :111.70  
##  3rd Qu.:128.68  
##  Max.   :318.34  
## 
inTrain<-createDataPartition(y=Wage$wage,p=0.7,list=FALSE)
training<-Wage[inTrain,]
testing<-Wage[-inTrain,]
dim(training)
## [1] 2102   10
dim(testing)
## [1] 898  10

Feature plot on the wages dataset

featurePlot(x=training[,c("age","education","jobclass")],y=training$wage,plot="pairs")

Plot age vs. wage

qplot(age,wage,data=training)

Plot age vs wage, color by jobclass

We can see that the outliners are mostly for people in informational jobclass

qplot(age,wage,color=jobclass,data=training)

Plot age vs. wage, color by education

You can see that the outliners are mostly advance degree education

qplot(age,wage,color=education,data=training)

Fit a linear model

modFit<-train(wage~age+jobclass+education,method="lm",data=training)
finMod<-modFit$finalModel
print(modFit)
## Linear Regression 
## 
## 2102 samples
##    3 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 2102, 2102, 2102, 2102, 2102, 2102, ... 
## Resampling results:
## 
##   RMSE      Rsquared  MAE     
##   35.79066  0.248127  24.68782
## 
## Tuning parameter 'intercept' was held constant at a value of TRUE
plot(finMod,1,pch=19,cex=0.5,col="#00000010")

Color by variables not used in the model

qplot(finMod$fitted,finMod$residuals,color=race,data=training)

Plot by index (i.e. which rows in the dataframe they are at)

plot(finMod$residuals,pch=19)

Predicted vs. truth in test set

pred<-predict(modFit,testing)
qplot(wage,pred,color=year,data=testing)

If you want to use all covariates (variables)

modFitAll<-train(wage~.,data=training,method="lm")
## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading
pred<-predict(modFitAll,newdata=testing)
## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading
qplot(wage,pred,data=testing)